Enriques varieties
|
| Alessandra Sarti |
| Université de Poitiers |
| Abstract |
| Enriques surfaces are special free quotients of \(K3\) surfaces, i.e. these are the quotients of a \(K3\) surface by a fixed point free involution. In higher dimension the notion can be generalized and one can introduce Enriques manifolds and construct exemples as quotients of irreducible holomorphic symplectic manifolds and Calabi-Yau manifolds. |
| The definition of Enriques manifolds I will give is slightly different from the original definition given independetly by Oguiso, Schroer and by Boissière, Nieper-Wisskirchen and myself in 2011. |
| A reason is that one wants to extend the definition to singular Enriques varieties, trying to generalize the notion of Log Enriques surfaces. |
| In the talk I will discuss the definition, give several exemples and then go to the singular setting. |
