Deformations of primitive Enriques varieties

Francesco Antonio Denisi, Nikolaos Tsakanikas, Zhixin Xie

公開日: 2025/9/17

Abstract

We develop the deformation theory of primitive Enriques varieties, which are defined as quasi-\'etale quotients of primitive symplectic varieties by nonsymplectic group actions. In particular, we establish a local Torelli theorem for primitive Enriques varieties. As applications thereof, we describe the behavior of certain primitive Enriques varieties under locally trivial deformations.