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arXiv · 2509.14014

Deformations of primitive Enriques varieties

Francesco Antonio Denisi·Nikolaos Tsakanikas·Zhixin Xie
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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.

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Francesco Antonio Denisi, Nikolaos Tsakanikas, Zhixin Xie. 2025-09-17. Deformations of primitive Enriques varieties. https://arxiv.org/abs/2509.14014

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