On the geometry of singular EPW cubes
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909402083098624 |
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| author | Rizzo, Francesca |
| author_facet | Rizzo, Francesca |
| contents | EPW cubes form a locally complete family of smooth projective hyper-Kähler varieties of dimension 6, constructed by Iliev--Kapustka--Kapustka--Ranestad.\ Their construction and behavior share a lot of similarities with the double EPW sextics constructed by O'Grady.\ Adapting the methods of O'Grady, we construct a projective smooth small resolution of singular EPW cubes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13472 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the geometry of singular EPW cubes Rizzo, Francesca Algebraic Geometry 14J10, 14J42 EPW cubes form a locally complete family of smooth projective hyper-Kähler varieties of dimension 6, constructed by Iliev--Kapustka--Kapustka--Ranestad.\ Their construction and behavior share a lot of similarities with the double EPW sextics constructed by O'Grady.\ Adapting the methods of O'Grady, we construct a projective smooth small resolution of singular EPW cubes. |
| title | On the geometry of singular EPW cubes |
| topic | Algebraic Geometry 14J10, 14J42 |
| url | https://arxiv.org/abs/2405.13472 |