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arXiv · 2501.06893

Non-existence of Enriques manifolds from OG10 type manifolds

Simone Billi·Franco Giovenzana·Luca Giovenzana·Annalisa Grossi
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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.

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Simone Billi, Franco Giovenzana, Luca Giovenzana, Annalisa Grossi. 2025-01-12. Non-existence of Enriques manifolds from OG10 type manifolds. https://arxiv.org/abs/2501.06893

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