On the fixed locus of the antisymplectic involution of an EPW cube
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917255859666944 |
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| author | Rizzo, Francesca |
| author_facet | Rizzo, Francesca |
| contents | EPW cubes are polarized hyper-Kähler varieties of K$3^{[3]}$-type that carry an anti-symplectic involution. We study the geometry of the fixed locus $\sW_A$ of this involution and prove that it is a \emph{rigid} atomic Lagrangian submanifold. Our proof is based on a detailed description of certain singular degenerations of EPW cubes and the degeneration methods of Flappan--Macrì--O'Grady--Saccà. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_15717 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the fixed locus of the antisymplectic involution of an EPW cube Rizzo, Francesca Algebraic Geometry EPW cubes are polarized hyper-Kähler varieties of K$3^{[3]}$-type that carry an anti-symplectic involution. We study the geometry of the fixed locus $\sW_A$ of this involution and prove that it is a \emph{rigid} atomic Lagrangian submanifold. Our proof is based on a detailed description of certain singular degenerations of EPW cubes and the degeneration methods of Flappan--Macrì--O'Grady--Saccà. |
| title | On the fixed locus of the antisymplectic involution of an EPW cube |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2505.15717 |