Double EPW sextics associated to Gushel-Mukai surfaces
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866909446903431168 |
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| author | Beri, Pietro |
| author_facet | Beri, Pietro |
| contents | Works by O'Grady allow to associate to a 2-dimensional Gushel-Mukai variety, which is a K3 surface, a double EPW sextic. We characterize the K3 surfaces whose associated double EPW sextic is smooth. As a consequence, we are able to produce symplectic actions on some families of smooth double EPW sextics which are hyper-Kähler manifolds. We also provide bounds for the automorphism group of Gushel-Mukai varieties in dimension 2 and higher. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_12223 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Double EPW sextics associated to Gushel-Mukai surfaces Beri, Pietro Algebraic Geometry 14C05 14J50 14J28 Works by O'Grady allow to associate to a 2-dimensional Gushel-Mukai variety, which is a K3 surface, a double EPW sextic. We characterize the K3 surfaces whose associated double EPW sextic is smooth. As a consequence, we are able to produce symplectic actions on some families of smooth double EPW sextics which are hyper-Kähler manifolds. We also provide bounds for the automorphism group of Gushel-Mukai varieties in dimension 2 and higher. |
| title | Double EPW sextics associated to Gushel-Mukai surfaces |
| topic | Algebraic Geometry 14C05 14J50 14J28 |
| url | https://arxiv.org/abs/2011.12223 |