Deformations of Primitive Enriques Varieties

Forum of Mathematics Sigma 2026 Open access

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Authors: Francesco Antonio Denisi, Nikolaos Tsakanikas, Zhixin Xie
DOI: 10.1017/fms.2026.10272
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Geometry and complex manifolds Nonlinear Waves and Solitons

Publication details

Journal / source
Forum of Mathematics Sigma
Volume
14
Publication date
1 January 2026
Language
EN