Non-existence of Enriques manifolds from OG10 type manifolds
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913886428463104 |
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| author | Billi, Simone Giovenzana, Franco Giovenzana, Luca Grossi, Annalisa |
| author_facet | Billi, Simone Giovenzana, Franco Giovenzana, Luca Grossi, Annalisa |
| contents | 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 by Pacienza and Sarti. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06893 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-existence of Enriques manifolds from OG10 type manifolds Billi, Simone Giovenzana, Franco Giovenzana, Luca Grossi, Annalisa Algebraic Geometry 14J42 (Primary) 14J50 (Secondary) 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 by Pacienza and Sarti. |
| title | Non-existence of Enriques manifolds from OG10 type manifolds |
| topic | Algebraic Geometry 14J42 (Primary) 14J50 (Secondary) |
| url | https://arxiv.org/abs/2501.06893 |