Publicaciones

In Preparation 1. R. A. Hidalgo, Y. L. Mar\'{\i}n and S. Quispe, Generalized quasi-dihedral group as automorphism group of Riemann surfaces. Submitted to Transformation Groups (ISSN: 1083-4362) 2.- R. A. Hidalgo, On quasiconformal equivalence of Schottky regions. Submitted to Groups, Geometry and Dynamics. ( ISSN: 661-7207) 3.- R. A. Hidalgo, Una observación sencilla sobre vectores de constantes de Riemann y divisores no-especiales de curvas generalizadas de Fermat. Submitted to CUBO, A Mathematical Journal (ISSN 0719-0646 ) Accepted 1. R. A. Hidalgo, J. Paulhus, S. Reyes-Carocca and A. M. Rojas, On Non-Normal Subvarieties of the Moduli Space of Riemann Surfaces. Transformation Groups (2024), (ISSN: 1083-4362) https://doi.org/10.1007/s00031-024-09870-3 2.- R. A. Hidalgo, S. Quispe and T. Shaska, Generalized superelliptic Riemann surfaces. Transformation Groups. (ISSN: 1083-4362) 3.- R. A. Hidalgo, H. F. Hughes and M. Leyton-Alvarez, Uniqueness of generalized Fermat groups in positive characteristic. Transformation Groups. (ISSN: 1083-4362) 4.- E. Girondo, G. Gonz\'alez-Diez and R. A. Hidalgo, The minima of the geodesic length functions of uniform filling curves. Journal of the London Mathematical Society. (ISSN: 1469-7750) 5.- R. A. Hidalgo, Explicit Computation of the Field of moduli of some non-hyperelliptic pseudo-real curves. Archiv der Mathematik. (ISSN: 0003-889X)

2020-2029 [164] C. Bagi\'nski, G. Gromadzki and R. A. Hidalgo, On the biggest purely non-free conformal actions on compact Riemann surfaces and their asymptotic properties, J. Algebra {\bf 663} (2025), 630--651; MR4811050 [163] R. A. Hidalgo and M. Izquierdo, Cyclic-Schottky strata of Schottky space, Bull. Lond. Math. Soc. {\bf 56} (2024), no.~11, 3412--3427; MR4828023 [162] R. A. Hidalgo, Y. L. Mar\'in~Montilla and S. Quispe, Quasi-abelian group as automorphism group of Riemann surfaces, Manuscripta Math. {\bf 175} (2024), No. 1-2, 591--616; MR4790573 [161] R. A. Hidalgo, Extending finite free actions of surfaces, Bull. Lond. Math. Soc. {\bf 56} (2024), no.~7, 2495--2513; MR4780713 [160] R. A. Hidalgo, On $p$-gonal fields of definition, Ars Math. Contemp. {\bf 24} (2024), no.~3, Paper No. 2, 10 pp.; MR4756789 [159] G. Gromadzki and R. A. Hidalgo, Structural description of dihedral extended Schottky groups and application in study of symmetries of handlebodies, Topology Appl. {\bf 339} (2023), Paper No. 108568, 25 pp.; MR4644353 [158] R. A. Hidalgo, Quadrangular $\Bbb Z_p^l$-actions on Riemann surfaces, Eur. J. Math. {\bf 9} (2023), no.~3, Paper No. 63, 23 pp.; MR4617113 [157] R. A. Hidalgo and I. Morales, Realising countable groups as automorphisms of origamis on the Loch Ness monster, Arch. Math. (Basel) {\bf 120} (2023), no.~4, 355--360; MR4561108 [156] R. A. Hidalgo, Homology group automorphisms of Riemann surfaces, Moscow Math. J. {\bf 23} (2023), no.~1, 113--120; MR4545302 [155] R. A. Hidalgo, Smooth quotients of generalized Fermat curves, Rev. Mat. Complut. {\bf 36} (2023), no.~1, 27--55; MR4536482 [154] A. Ca\~nas, R. A. Hidalgo, F. J. Turiel, and A. Viruel, Groups as automorphisms of dessins d'enfants, Rev. R. Acad. Cienc. Exactas F\'is. Nat. Ser. A Mat. RACSAM {\bf 116} (2022), no.~4, Paper No. 160, 9 pp.; MR4462820 [153] Y. Atarihuana, J. Garc\'ia, R. A. Hidalgo, S. Quispe, and C. Ram\'irez Maluendas, Dessins d'enfants and some holomorphic structures on the Loch Ness monster, Q. J. Math. {\bf 73} (2022), no.~1, 349--367; MR4395084 [152] R. A. Hidalgo, Dessins d'enfants with a given bipartite graph, in {\it Automorphisms of Riemann surfaces, subgroups of mapping class groups and related topics}, 249--267, Contemp. Math., 776, Amer. Math. Soc., , RI, ; MR4375120 [151] R. A. Hidalgo, S. Reyes-Carocca and A. A. Vega, Fiber product of Riemann surfaces, in {\it Automorphisms of Riemann surfaces, subgroups of mapping class groups and related topics}, 161--175, Contemp. Math., 776, Amer. Math. Soc., , RI, ; MR4375116 [150] R. A. Hidalgo, The structure of extended function groups, Cubo {\bf 23} (2021), no.~3, 369--384; MR4346270 [149] R. A. Hidalgo and S. Quispe, On real and pseudo-real rational maps, Nonlinearity {\bf 34} (2021), no.~9, 6248--6272; MR4295550 [148] R. D\'iaz and R. A. Hidalgo, Stable Riemann orbifolds of Schottky type, Rev. R. Acad. Cienc. Exactas F\'is. Nat. Ser. A Mat. RACSAM {\bf 115} (2021), no.~3, Paper No. 111, 27 pp.; MR4256302 [147] R. A. Hidalgo and S. Reyes-Carocca, Weil's Galois descent theorem from a computational point of view, in {\it Geometry at the frontier--symmetries and moduli spaces of algebraic varieties}, 217--228, Contemp. Math., 766, Amer. Math. Soc., , RI, ; MR4248055 [146] R. A. Hidalgo, Constructing Jacobian varieties with many elliptic curves, in {\it Geometry at the frontier---symmetries and moduli spaces of algebraic varieties}, 201--215, Contemp. Math., 766, Amer. Math. Soc., , RI, ; MR4248054 [145] R. A. Hidalgo, Automorphism groups of origami curves, Arch. Math. (Basel) {\bf 116} (2021), no.~4, 385--390; MR4244238 [144] A. Carocca, R. A. Hidalgo and R. E. Rodr\'iguez, $q$-\'etale covers of cyclic $p$-gonal covers, J. Algebra {\bf 573} (2021), 393--409; MR4203538 [143] R. A. Hidalgo, Geometric description of virtual Schottky groups, Bull. Lond. Math. Soc. {\bf 52} (2020), no.~3, 530--545; MR4171386 [142] J. C. Garc\'ia~Navas and R.~A. Hidalgo, On $n$-th roots of meromorphic maps, Rev. Colombiana Mat. {\bf 54} (2020), no.~1, 65--74; MR4152424 [141] R. A. Hidalgo, Holomorphic differentials of generalized Fermat curves, J. Number Theory {\bf 217} (2020), 78--101; MR4140621 [140] R. A. Hidalgo, A sufficiently complicated noded Schottky group of rank three, Cubo {\bf 22} (2020), no.~1, 39--53; MR4094649 [139] R. A. Hidalgo, A remark on the field of moduli of Riemann surfaces, Arch. Math. (Basel) {\bf 114} (2020), no.~5, 515--526; MR4088552 [138] E. Girondo et al., Zapponi-orientable dessins d'enfants, Rev. Mat. Iberoam. {\bf 36} (2020), no.~2, 549--570; MR4082918 [137] R. A. Hidalgo and S. Quispe, Regular dessins d'enfants with dicyclic group of automorphisms, J. Pure Appl. Algebra {\bf 224} (2020), no.~5, 106242, 9 pp.; MR4046242 2010-1019 [136] Y. Atarihuana and R. A. Hidalgo, On the connectivity of the branch and real locus of $\Cal{M}_{0,[n+1]}$, Rev. R. Acad. Cienc. Exactas F\'is. Nat. Ser. A Mat. RACSAM {\bf 113} (2019), no.~4, 2981--2998; MR3998998 [135] J. C. Garc\'ia-Navas and R. A. Hidalgo, On square roots of meromorphic maps, Results Math. {\bf 74} (2019), no.~3, Paper No. 118, 12 pp.; MR3955701 [134] R. A. Hidalgo, G. Honorato and F. Valenzuela-Henr\'iquez, On the dynamics of $n$-circle inversion, Nonlinearity {\bf 32} (2019), no.~4, 1242--1274; MR3923167 [133] R. A. Hidalgo, An explicit descent of real algebraic varieties, in {\it Algebraic curves and their applications}, 235--246, Contemp. Math., 724, Amer. Math. Soc., , RI, ; MR3916743 [132] R. A. Hidalgo and M. Leyton-\'Alvarez, Weierstrass weight of the hyperosculating points of generalized Fermat curves, J. Pure Appl. Algebra {\bf 223} (2019), no.~7, 3057--3070; MR3912958 [131] R. A. Hidalgo, Automorphism groups of dessins d'enfants, Arch. Math. (Basel) {\bf 112} (2019), no.~1, 13--18; MR3901897 [130] R. A. Hidalgo and M. Izquierdo, On the connectedness of the Branch locus of the Schottky space, Albanian J. Math. {\bf 12} (2018), no.~1, 131--136; MR3914345 [129] R. A. Hidalgo, Uniformizations of stable $(\gamma,n)$-gonal Riemann surfaces, Anal. Math. Phys. {\bf 8} (2018), no.~4, 655--677; MR3881019 [128] R. A. Hidalgo and S. Sarmiento, Real structures on marked Schottky space, J. Lond. Math. Soc. (2) {\bf 98} (2018), no.~2, 253--274; MR3873108 [127] G. Gromadzki and R. A. Hidalgo, On Macbeath's formula for hyperbolic manifolds, Albanian J. Math. {\bf 12} (2018), no.~1, 15--23; MR3863899 [126] R.~A. Hidalgo, On the minimal field of definition of rational maps: rational maps of odd signature, Ann. Acad. Sci. Fenn. Math. {\bf 43} (2018), no.~2, 685--692; MR3839831 [125] R. A. Hidalgo, $p$-groups acting on Riemann surfaces, J. Pure Appl. Algebra {\bf 222} (2018), no.~12, 4173--4188; MR3818299 [124] L. Beshaj, R. A. Hidalgo, S. Kruk, A. Malmendier, S. Quispe, and T. Shaska, Rational points in the moduli space of genus two, in {\it Higher genus curves in mathematical physics and arithmetic geometry}, 83--115, Contemp. Math., 703, Amer. Math. Soc., , RI, ; MR3782461 [123] R. A. Hidalgo and T. Shaska, On the field of moduli of superelliptic curves, in {\it Higher genus curves in mathematical physics and arithmetic geometry}, 47--62, Contemp. Math., 703, Amer. Math. Soc., , RI, ; MR3782459 [122] R. A. Hidalgo, About the Fricke-Macbeath curve, Eur. J. Math. {\bf 4} (2018), no.~1, 313--325; MR3782224 [121] E. E. Badr, R. A. Hidalgo and S. Quispe, Riemann surfaces defined over the reals, Arch. Math. (Basel) {\bf 110} (2018), no.~4, 351--362; MR3772023 [120] A. F. Costa-Gonz\'ales and R. A. Hidalgo, On the connectedness of the set of Riemann surfaces with real moduli, Arch. Math. (Basel) {\bf 110} (2018), no.~3, 305--310; MR3761140 [119] R. A. Hidalgo and S. Quispe, A note on the connectedness of the branch locus of rational maps, Glasg. Math. J. {\bf 60} (2018), no.~1, 199--207; MR3733840 [118] R. A. Hidalgo, Totally degenerate extended Kleinian groups, Cubo {\bf 19} (2017), no.~3, 69--77; MR3824415 [117] R. A. Hidalgo and S. Quispe, Regular dessins d'enfants with field of moduli $\Bbb Q(\root p\of 2)$, Ars Math. Contemp. {\bf 13} (2017), no.~2, 323--330; MR3720535 [116] C. Bagi\'nski, G. Gromadzki and R. A. Hidalgo, On purely non-free finite actions of abelian groups on compact surfaces, Arch. Math. (Basel) {\bf 109} (2017), no.~4, 311--321; MR3698318 [115] R. A. Hidalgo, L. Jim\'enez, S. Quispe and S. Reyes-Carocca, Quasiplatonic curves with symmetry group $\Bbb Z^2_2\rtimes\Bbb Z_m$ are definable over $\Bbb Q$, Bull. Lond. Math. Soc. {\bf 49} (2017), no.~1, 165--183; MR3653110 [114] R. A. Hidalgo, A. Kontogeorgis, M. Leyton-\'Alvarez and P. Paramantzoglou, Automorphisms of generalized Fermat curves, J. Pure Appl. Algebra {\bf 221} (2017), no.~9, 2312--2337; MR3631719 [113] M. Artebani, M. Carvacho, R. A. Hidalgo and S. Quispe, Sa\'ul, A tower of Riemann surfaces which cannot be defined over their field of moduli, Glasg. Math. J. {\bf 59} (2017), no.~2, 379--393; MR3628935 [112] A. F. Costa-Gonz\'ales and R. A. Hidalgo, Automorphisms of non-cyclic $p$-gonal Riemann surfaces, Moscow Math. J. {\bf 16} (2016), no.~4, 659--674; MR3598501 [111] C. Bagi\'nski, M. Carvacho, G. Gromadzki and R. A. Hidalgo, On periodic self-homeomorphisms of closed orientable surfaces determined by their orders, Collect. Math. {\bf 67} (2016), no.~3, 415--429; MR3536054 [110] M. Carvacho., R. A. Hidalgo and S. Quispe, Jacobian variety of generalized Fermat curves, Q. J. Math. {\bf 67} (2016), no.~2, 261--284; MR3509993 [109] R. A. Hidalgo and S. Quispe, Fields of moduli of some special curves, J. Pure Appl. Algebra {\bf 220} (2016), no.~1, 55--60; MR3393450 [108] R. A. Hidalgo and R. E. Rodr\'iguez, A remark on the decomposition of the Jacobian variety of Fermat curves of prime degree, Arch. Math. (Basel) {\bf 105} (2015), no.~4, 333--341; MR3395480 [107] R. A. Hidalgo and P. Johnson, Field of moduli of generalized Fermat curves of type $(k,3)$ with an application to non-hyperelliptic dessins d'enfants,  J. Symbolic Comput. {\bf 71} (2015), 60--72; MR3345315 [106] R. A. Hidalgo, Edmonds maps on the Fricke-Macbeath curve, Ars Math. Contemp. {\bf 8} (2015), no.~2, 275--289; MR3322704 [105] G. Gromadzki and R. A. Hidalgo, Conjugacy classes of symmetries of compact Kleinian 3-manifolds, in {\it Riemann and Klein surfaces, automorphisms, symmetries and moduli spaces}, 181--187, Contemp. Math., 629, Amer. Math. Soc., Providence, RI, ; MR3289641 [104] F. J. Cirre and R. A. Hidalgo, Normal coverings of hyperelliptic real Riemann surfaces, in {\it Riemann and Klein surfaces, automorphisms, symmetries and moduli spaces}, 59--75, Contemp. Math., 629, Amer. Math. Soc., Providence, RI, ; MR3289633 [103] R. A. Hidalgo and M. Izquierdo, On the connectivity of the branch locus of the Schottky space, Ann. Acad. Sci. Fenn. Math. {\bf 39} (2014), no.~2, 635--654; MR3237042 [102] R. A. Hidalgo, A simple remark on the field of moduli of rational maps, Q. J. Math. {\bf 65} (2014), no.~2, 627--635; MR3230378 [101] R. A. Hidalgo, Computing the field of moduli of the KFT family, Proyecciones {\bf 33} (2014), no.~1, 61--75; MR3162788 [100] R. A. Hidalgo, S. Reyes-Carocca and M. E. Vald\'es, Field of moduli and generalized Fermat curves, Rev. Colombiana Mat. {\bf 47} (2013), no.~2, 205--221; MR3199693 [99] R. A. Hidalgo, Almost Abelian regular dessins d'enfants, Fund. Math. {\bf 222} (2013), no.~3, 269--278; MR3104073 [98] G. Gromadzki and R. A. Hidalgo, Schottky uniformizations of symmetries, Glasg. Math. J. {\bf 55} (2013), no.~3, 591--613; MR3084663 [97] A. Carocca, R. A. Hidalgo and R. E. Rodr\'iguez, Orbifolds with signature $(0;k,k^{n-1},k^n,k^n)$, Pacific J. Math. {\bf 263} (2013), no.~1, 53--85; MR3069076 [96] Y. Fuertes, G. Gonz\'alez-Diez, R. A. Hidalgo and M. Leyton, Automorphisms group of generalized Fermat curves of type $(k,3)$,  J. Pure Appl. Algebra {\bf 217} (2013), no.~10, 1791--1806; MR3053516 [95] R. A. Hidalgo, Lowest uniformizations of compact Klein surfaces, Rev. Mat. Iberoam. {\bf 29} (2013), no.~1, 373--379; MR3010133 [94] R. A. Hidalgo, The bipartite graphs of abelian dessins d'enfants, Ars Math. Contemp. {\bf 6} (2013), no.~2, 301--304; MR2996936 [93] R. A. Hidalgo, Homology closed Riemann surfaces, Q. J. Math. {\bf 63} (2012), no.~4, 931--952; MR2999992 [92] R. A. Hidalgo and S. Reyes-Carocca, Fields of moduli of classical Humbert curves, Q. J. Math. {\bf 63} (2012), no.~4, 919--930; MR2999991 [91] R. A. Hidalgo, A remark on $(p,n)$-gonal quasiplatonic Riemann surfaces, Geom. Dedicata {\bf 160} (2012), 309--312; MR2970056 [90] R. A. Hidalgo and M. Sepp\"al\"a, Numerical Schottky uniformizations of certain cyclic L-gonal curves,  in {\it Computational algebraic and analytic geometry}, 97--112, Contemp. Math., 572, Amer. Math. Soc., Providence, RI, ; MR2953426 [89] R. A. Hidalgo, On conjugacy of $p$-gonal automorphisms,  Bull. Korean Math. Soc. {\bf 49} (2012), no.~2, 411--415; MR2934491 [88] R. A. Hidalgo, A simple remark on fields of definition, Proyecciones {\bf 31} (2012), no.~1, 25--28; MR2924686 [87] R. A. Hidalgo, Erratum to: Non-hyperelliptic Riemann surfaces with real field of moduli but not definable over the reals [\refcno 2540787\endrefcno], Arch. Math. (Basel) {\bf 98} (2012), no.~5, 449--451; MR2922688 [86] R. A. Hidalgo, A Kleinian group version of Torelli's theorem, Sci. Ser. A Math. Sci. (N.S.) {\bf 21} (2011), 107--115; MR2961706 [85] R. A. Hidalgo and M. Sepp\"al\"a, Numerical Schottky uniformizations: Myrberg's opening process, in {\it Computational approach to Riemann surfaces}, 195--209, Lecture Notes in Math., 2013, Springer, Heidelberg, ; MR2920504 [84] R. D\'iaz, I. C. Garijo and R. A. Hidalgo, Uniformization of conformal involutions on stable Riemann surfaces, Israel J. Math. {\bf 186} (2011), 297--331; MR2852325 [83] R. A. Hidalgo, Conjugacy classes of automorphisms $p$-groups, Bull. Korean Math. Soc. {\bf 48} (2011), no.~4, 847--851; MR2848148 [82] R. A. Hidalgo, Lifting di-analytic involutions of compact Klein surfaces to extended-Schottky uniformizations, Fund. Math. {\bf 214} (2011), no.~2, 161--180; MR2845720 [81] Y. Fuertes and R. A. Hidalgo, On unbranched non-normal degree four coverings of hyperelliptic Riemann surfaces, Q. J. Math. {\bf 62} (2011), no.~3, 593--605; MR2825473 [80] R. A. Hidalgo, The fiber product of Riemann surfaces: a Kleinian group point of view, Anal. Math. Phys. {\bf 1} (2011), no.~1, 37--45; MR2817337 [79] R. A. Hidalgo, On the inverse uniformization problem: real Schottky uniformizations, Rev. Mat. Complut. {\bf 24} (2011), no.~2, 391--420; MR2806352 [78] R. A. Hidalgo, Maximal virtual Schottky groups: explicit constructions, Rev. Colombiana Mat. {\bf 44} (2010), no.~1, 41--57; MR2733393 [77] R. A. Hidalgo, A short note on $M$-symmetric hyperelliptic Riemann surfaces, Cubo {\bf 12} (2010), no.~1, 175--179; MR2730594 [76] R. A. Hidalgo and M. Godoy-Molina, Navier-Stokes equations on weighted graphs, Complex Anal. Oper. Theory {\bf 4} (2010), no.~3, 525--540; MR2719791 [75] R. A. Hidalgo, Lowest uniformizations of closed Riemann orbifolds, Rev. Mat. Iberoam. {\bf 26} (2010), no.~2, 639--649; MR2677010 [74] R. D\'iaz, R. I. Garijo, G. Gromadzki and R. A. Hidalgo, Structure of Whittaker groups and applications to conformal involutions on handlebodies, Topology Appl. {\bf 157} (2010), no.~15, 2347--2361; MR2674031 [73] R. A. Hidalgo and B. Maskit, A note on the lifting of automorphisms, in {\it Geometry of Riemann surfaces}, 260--267, London Math. Soc. Lecture Note Ser., 368, Cambridge Univ. Press, Cambridge, ; MR2665013 [72] R. A. Hidalgo and A. D. Mednykh, Geometric orbifolds with torsion free derived subgroup, Sib. Math. J. {\bf 51} (2010), no.~1, 38--47; translated from Sibirsk. Mat. Zh. {\bf 51} (2010), no.~1, 48--61; MR2654520 [71] R. A. Hidalgo, Maximal Schottky extension groups, Geom. Dedicata {\bf 146} (2010), 141--158; MR2644275 [70] R. A. Hidalgo, Schottky double covers, Rev. Mat. Complut. {\bf 23} (2010), no.~1, 37--48; MR2578570 [69] R. A. Hidalgo and B. Maskit, Fixed points of imaginary reflections on hyperbolic handlebodies, Math. Proc. Cambridge Philos. Soc. {\bf 148} (2010), no.~1, 135--158; MR2575379 2000-2009 [68] R. A. Hidalgo, A theoretical algorithm to get a Schottky uniformization from a Fuchsian one, in {\it Analysis and mathematical physics}, 193--204, Trends Math., Birkh\"auser, Basel, ; MR2724614 [67] R. A. Hidalgo, Non-hyperelliptic Riemann surfaces with real field of moduli but not definable over the reals, Arch. Math. (Basel) {\bf 93} (2009), no.~3, 219--224; MR2540787 [66] G. Gonz\'alez-D\'iez, R. A. Hidalgo and M. Leyton-\'Alvarez, Generalized Fermat curves, J. Algebra {\bf 321} (2009), no.~6, 1643--1660; MR2498261 [65] R. A. Hidalgo and M. Godoy-Molina, Existence of solutions of semilinear systems in $l^2$, Proyecciones {\bf 27} (2008), no.~2, 171--183; MR2444005 [64] R. A. Hidalgo, Zeros of semilinear systems with applications to nonlinear partial difference equations on graphs, J. Difference Equ. Appl. {\bf 14} (2008), no.~9, 953--969; MR2439783 [63] R. A. Hidalgo, On the retrosection theorem, Proyecciones {\bf 27} (2008), no.~1, 29--61; MR2413139 [62] A. Carocca, V. Gonz\'alez-Aguilera, R. A. Hidalgo, and R. E. Rodr\'iguez, Generalized Humbert curves, Israel J. Math. {\bf 164} (2008), 165--192; MR2391145 [61] M. Leyton-\'Alvarez and R. A. Hidalgo, On uniqueness of automorphisms groups of Riemann surfaces, Rev. Mat. Iberoam. {\bf 23} (2007), no.~3, 793--810; MR2414492 [60] R. A. Hidalgo, Classical Schottky uniformizations of Genus 2. A package for MATHEMATICA, Sci. Ser. A Math. Sci. (N.S.) {\bf 15} (2007), 67--94; MR2367915 [59] R. A. Hidalgo, I. Markina and A. Y. Vasil\cprime ev, Finite dimensional grading of the Virasoro algebra, Georgian Math. J. {\bf 14} (2007), no.~3, 419--434; MR2352315 [58] B. Estrada, R. A. Hidalgo and E. Mart\'inez, On $q$-$n$-gonal Klein surfaces, Acta Math. Sin. (Engl. Ser.) {\bf 23} (2007), no.~10, 1833--1844; MR2352298 [57] R. A. Hidalgo and A. Y. Vasil\cprime ev, Noded Teichm\"uller spaces, J. Anal. Math. {\bf 99} (2006), 89--107; MR2279548 [56] R. A. Hidalgo and B. Maskit, On neoclassical Schottky groups, Trans. Amer. Math. Soc. {\bf 358} (2006), no.~11, 4765--4792; MR2231871 [55] R. A. Hidalgo and B. Maskit, Lowest uniformizations of compact real surfaces, in {\it The geometry of Riemann surfaces and abelian varieties}, 145--152, Contemp. Math., 397, Amer. Math. Soc., Providence, RI, ; MR2218005 [54] R. A. Hidalgo and B. Maskit, On Klein-Schottky groups, Pacific J. Math. {\bf 220} (2005), no.~2, 313--328; MR2200375 [53] R. A. Hidalgo and G. Rosenberger, Torsion free commutator subgroups of generalized Coxeter groups, Results Math. {\bf 48} (2005), no.~1-2, 50--64; MR2181238 [52] R. A. Hidalgo, Schottky uniformizations of $\Bbb Z_2^2$ actions on Riemann surfaces, Rev. Mat. Complut. {\bf 18} (2005), no.~2, 427--453; MR2166518 [51] R. A. Hidalgo and J. Figueroa-Nieto, Numerical Schottky uniformizations, Geom. Dedicata {\bf 111} (2005), 125--157; MR2155179 [50] R. A. Hidalgo, Real Schottky parametrizations, Complex Var. Theory Appl. {\bf 50} (2005), no.~6, 401--426; MR2148590 [49] R. A. Hidalgo, Schottky uniformizations of genus 3 and 4 reflecting $\scr S_4$, J. London Math. Soc. (2) {\bf 72} (2005), no.~1, 185--204; MR2145735 [48] R. A. Hidalgo, Automorphism groups of Schottky type, Ann. Acad. Sci. Fenn. Math. {\bf 30} (2005), no.~1, 183--204; MR2140306 [47] R. A. Hidalgo, Abelian automorphisms groups of Schottky type, Proyecciones {\bf 23} (2004), no.~3, 187--203; MR2139344 [46] R. A. Hidalgo, A Schottky description of a theorem of Conder-Maclahlan-Vasiljevic-Wilson, Sci. Ser. A Math. Sci. (N.S.) {\bf 10} (2004), 53--63; MR2127482 [45] R. A. Hidalgo, Maximal real Schottky groups, Rev. Mat. Iberoamericana {\bf 20} (2004), no.~3, 737--770; MR2124488 [44] R. A. Hidalgo and R. E. Rodr\'iguez, Real Schottky uniformizations and Jacobians of May surfaces, Rev. Mat. Iberoamericana {\bf 20} (2004), no.~3, 627--646; MR2124485 [43] R. A. Hidalgo, Cyclic extensions of Schottky uniformizations, Ann. Acad. Sci. Fenn. Math. {\bf 29} (2004), no.~2, 329--344; MR2097236 [42] R. A. Hidalgo, V. Gonz\'alez-Aguilera and G. Labb\'e-Morales, Schottky uniformizations of genus 6 Riemann surfaces admitting ${\scr A}_5$ as group of automorphisms,  Geom. Dedicata {\bf 106} (2004), 79--95; MR2079835 [41] R. A. Hidalgo, A commutator rigidity for function groups and Torelli's theorem, Proyecciones {\bf 22} (2003), no.~2, 117--125; MR2003766 [40] R. A. Hidalgo, Hyperbolic polygons and real Schottky groups, Complex Var. Theory Appl. {\bf 48} (2003), no.~1, 43--62; MR1953760 [39] R. A. Hidalgo, Real surfaces, Riemann matrices and algebraic curves, in {\it Complex manifolds and hyperbolic geometry (Guanajuato, 2001)}, 277--299, Contemp. Math., 311, Amer. Math. Soc., Providence, RI, ; MR1940175 [38] A. Y. Vasil\cprime ev and R. A. Hidalgo, Harmonic moduli of families of curves on Teichm\"uller spaces, Sci. Ser. A Math. Sci. (N.S.) {\bf 8} (2002), 63--73; MR1933690 [37] R. A. Hidalgo, $\scr A_4,\ \scr A_5,\ \scr S_4$ and $\scr S_5$ of Schottky type, Rev. Mat. Complut. {\bf 15} (2002), no.~1, 11--29; MR1915213 [36] R. A. Hidalgo, Some special Kleinian groups and their orbifolds, Proyecciones {\bf 21} (2002), no.~1, 21--50; MR1909694 [35] R. A. Hidalgo, $\Gamma$-hyperelliptic-symmetric Schottky groups, Complex Variables Theory Appl. {\bf 45} (2001), no.~2, 117--141; MR1909429 [34] R. A. Hidalgo, Schottky uniformization of stable symmetric Riemann surfaces, Notas Soc. Mat. Chile (N.S.) No. 1 (2001), 82--91; MR1894371 [33] R. A. Hidalgo, Fixed point parameters for Fuchsian groups of signature $(2,0)$, Notas Soc. Mat. Chile (N.S.) No. 1 (2001), 11--21; MR1894367 [32] R. A. Hidalgo, Schottky uniformizations and Riemann matrices of maximal symmetric Riemann surfaces of genus 5,  Proyecciones {\bf 20} (2001), no.~1, 93--126; MR1881882 [31] R. A. Hidalgo, Numerical uniformization of hyperelliptic-$M$-symmetric Riemann surfaces, Proyecciones {\bf 20} (2001), no.~3, 351--365; MR1874429 [30] R. A. Hidalgo, Bounds for conformal automorphisms of Riemann surfaces with condition (A), Proyecciones {\bf 20} (2001), no.~2, 139--175; MR1856405 [29] R. A. Hidalgo and A. F. Costa-Gonz\'ales, Anticonformal automorphisms and Schottky coverings, Ann. Acad. Sci. Fenn. Math. {\bf 26} (2001), no.~2, 489--508; MR1833254 [28] R. A. Hidalgo, A note on the homology covering of analytically finite Klein surfaces, Complex Variables Theory Appl. {\bf 42} (2000), no.~2, 183--192; MR1788249 [27] R. A. Hidalgo, Fixed point parameters for M\"obius groups, Proyecciones {\bf 19} (2000), no.~2, 157--196; MR1778800 [26] R. A. Hidalgo and G. Labb\'e-Morales, Fixed points parameters for Teichm\"uller space of closed Riemann surfaces, Proyecciones {\bf 19} (2000), no.~1, 65--94; MR1765292 1990-1999 [25] M. A. Hagelberg and R. A. Hidalgo, Corrigenda: ``Some generalized Coxeter groups and their orbifolds'' [Rev.\ Mat.\ Iberoamericana {\bf 13} (1997), no.\ 3, 543--566; \refmr MR1617395 (99c:57038)\endrefmr], Rev. Mat. Iberoamericana {\bf 15} (1999), no.~3, 635; MR1742568 [24] R. A. Hidalgo, A note on the homology covering of closed Klein surfaces, Proyecciones {\bf 18} (1999), no.~2, 165--173; MR1727725 [23] R. A. Hidalgo, Noded function groups, in {\it Complex geometry of groups (Olmu\'e, 1998)}, 209--222, Contemp. Math., 240, Amer. Math. Soc., Providence, RI, ; MR1703561 [22] R. A. Hidalgo, Dihedral groups are of Schottky type, Proyecciones {\bf 18} (1999), no.~1, 23--48; MR1699974 [21] R. A. Hidalgo, Cyclic groups of automorphisms of Schottky type, Proyecciones {\bf 18} (1999), no.~1, 13--21; MR1699973 [20] R. A. Hidalgo, $\gamma$-hyperelliptic Riemann surfaces, Proyecciones {\bf 17} (1998), no.~1, 77--117; MR1639736 [19] R. A. Hidalgo, Noded Fuchsian groups. I, Complex Variables Theory Appl. {\bf 36} (1998), no.~1, 45--66; MR1637340 [18] R. A. Hidalgo, On a theorem of Accola, Complex Variables Theory Appl. {\bf 36} (1998), no.~1, 19--26; MR1637328 [17] R. A. Hidalgo, An example of degeneration on the noded Schottky space, Rev. Mat. Complut. {\bf 11} (1998), no.~1, 165--183; MR1634633 [16] M. A. Hagelberg and R. A. Hidalgo, Some generalized Coxeter groups and their orbifolds, Rev. Mat. Iberoamericana {\bf 13} (1997), no.~3, 543--566; MR1617395 [15] G. Gonz\'alez-D\'iez and R. A. Hidalgo, Conformal versus topological conjugacy of automorphisms on compact Riemann surfaces, Bull. London Math. Soc. {\bf 29} (1997), no.~3, 280--284; MR1435558 [14] R. A. Hidalgo, Closed Riemann surfaces with dihedral groups of conformal automorphisms, Proyecciones {\bf 15} (1996), no.~1, 47--90; MR1444796 [13] R. A. Hidalgo, The noded Schottky space, Proc. London Math. Soc. (3) {\bf 73} (1996), no.~2, 385--403; MR1397694 [12] R. A. Hidalgo, A note on the $12(g-1)$ bound, C. R. Math. Rep. Acad. Sci. Canada {\bf 18} (1996), no.~1, 39--42; MR1387448 [11] R. A. Hidalgo, Kleinian groups with common commutator subgroup, Complex Variables Theory Appl. {\bf 28} (1995), no.~2, 121--133; MR1700077 [10] R. A. Hidalgo, A commutator rigidity for Kleinian groups, Proyecciones {\bf 14} (1995), no.~2, 75--81; MR1383568 [9] R. A. Hidalgo, Kleinian groups with an invariant Jordan curve: $J$-groups, Pacific J. Math. {\bf 169} (1995), no.~2, 291--310; MR1346256 [8] R. A. Hidalgo and C. Pommerenke, On simultaneous homomorphisms onto Kleinian groups, Complex Variables Theory Appl. {\bf 27} (1995), no.~4, 309--315; MR1346181 [7] R. A. Hidalgo, Fixed point parameters for Fuchsian groups of type $(1,2,0)$, Sci. Ser. A Math. Sci. (N.S.) {\bf 6} (1994/00), 97--110 (2003); MR2079753 [6] R. A. Hidalgo, On Schottky groups with automorphisms, Ann. Acad. Sci. Fenn. Ser. A I Math. {\bf 19} (1994), no.~2, 259--289; MR1274083 [5] R. A. Hidalgo, The mixed elliptically fixed point property for Kleinian groups, Ann. Acad. Sci. Fenn. Ser. A I Math. {\bf 19} (1994), no.~2, 247--258; MR1274082 [4] R. A. Hidalgo, Schottky uniformizations of closed Riemann surfaces with abelian groups of conformal automorphisms, Glasgow Math. J. {\bf 36} (1994), no.~1, 17--32; MR1260814 [3] R. A. Hidalgo, {\it On Schottky groups with automorphisms}, Ann. Acad. Fenn. 19,(1994), 259-289 [2] R. A. Hidalgo, Homology coverings of Riemann surfaces, Tohoku Math. J. (2) {\bf 45} (1993), no.~4, 499--503; MR1245717 [1] R. A. Hidalgo, On $\tau$-hyperelliptic Schottky groups, Notas Soc. Mat. Chile {\bf 8} (1989), no.~1, 27--36; MR1051835