Non-existence of enriques manifolds from OG10 type manifolds
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].
Authors
- Franco Giovenzana (ORCID: https://orcid.org/0000-0001-8459-3306)
- Luca Giovenzana (ORCID: https://orcid.org/0000-0002-2192-0215)
- Simone Billi
- Annalisa Grossi (ORCID: https://orcid.org/0000-0002-7511-5449)
Institutions
- Centre National de la Recherche Scientifique (FR)
- University of Antwerp (BE)
- Université Côte d'Azur (FR)
- Université Paris-Saclay (FR)
- Laboratoire de Mathématiques d'Orsay (FR)
- Max Planck Institute for Informatics (DE)
- ZNA Middelheim Hospital (BE)
- Province of Antwerp (BE)
- Saarland University (DE)
Publication Details
- Journal
- Mathematische Annalen
- Published
- 2026-07-02
- DOI
- https://doi.org/10.1007/s00208-026-03514-5
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- European Commission
- Deutsche Forschungsgemeinschaft
- Universität des Saarlandes
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni