JORNADAS DE GEOMETRÍA EN CONCEPCIÓN 2024

(Universidad de Concepción - Universidad de La Frontera)
Del 28 al 29 de Octubre/2024

 

A family of birational models of generalized Kummer varieties as coverings of a projective 4-space

Samuel Boissière
Université de Poitiers
Abstract
I will discribe a work in progress in collaboration with Gregory Sankaran and Marc Nieper-Wisskirchen, where we construct birational models of generalized Kummer varieties using degree \(15\) ramified coverings of the projective \(4\)-space. The starting point of this work is a geometric interpretation of the group law on the Jacobian of a genus \(2\) curve.
I will also explain the challenge behind this construction.