Deformations of primitive Enriques varieties
Algebraic Geometry
2025-09-18 v1 Complex Variables
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.
Cite
@article{arxiv.2509.14014,
title = {Deformations of primitive Enriques varieties},
author = {Francesco Antonio Denisi and Nikolaos Tsakanikas and Zhixin Xie},
journal= {arXiv preprint arXiv:2509.14014},
year = {2025}
}