Deformations of primitive Enriques varieties

2025/09/17 by Denisi, Francesco Antonio, Tsakanikas, Nikolaos, Xie, Zhixin
#Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.14014

Abstract

We develop the deformation theory of primitive Enriques varieties, which are defined as quasi-étale 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.

Citations

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Related

• Deformations of rational curves on primitive symplectic varieties and applications
• Rational curves on primitive symplectic varieties of OG6 singular type
• A global Torelli theorem for singular symplectic varieties
• Logarithmic Enriques varieties
• Extension of 2-forms and symplectic varieties