Non-existence of Enriques manifolds from OG10 type manifolds
Algebraic Geometry
2025-06-11 v2
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 \'etale quotients of hyper-K\"ahler manifolds of OG10 type. This answers a question raised by Pacienza and Sarti.
Keywords
Cite
@article{arxiv.2501.06893,
title = {Non-existence of Enriques manifolds from OG10 type manifolds},
author = {Simone Billi and Franco Giovenzana and Luca Giovenzana and Annalisa Grossi},
journal= {arXiv preprint arXiv:2501.06893},
year = {2025}
}
Comments
12 pages, 1 table. Small changes. Comments are welcome!