Non-existence of Enriques manifolds from OG10 type manifolds

Mathematische Annalen 2026 Open access

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Authors: Simone Billi, Franco Giovenzana, Luca Giovenzana, Annalisa Grossi
DOI: 10.1007/s00208-026-03514-5
Cited by: 0

Abstract

Abstract We use the LLV algebra to describe the action of a finite order automorphism on the total cohomology of a manifold of OG10 type. As an application, we prove that no Enriques manifolds arise as étale quotients of hyper-Kähler manifolds of OG10 type. This answers a question raised in [10].

Fields of Study & Subjects

Geometry and complex manifolds Homotopy and Cohomology in Algebraic Topology Geometric Analysis and Curvature Flows

Publication details

Journal / source
Mathematische Annalen
Volume
395
Issue
4
Publication date
2 July 2026
Language
EN