Double EPW sextics and the Voisin filtration on zero-cycles
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912301497450496 |
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| author | Bolognesi, Michele Laterveer, Robert |
| author_facet | Bolognesi, Michele Laterveer, Robert |
| contents | Let $X$ be a double EPW sextic, and $ι$ its anti-symplectic involution. We relate the $ι$-anti-invariant part of the Chow group of zero-cycles of $X$ with Voisin's rational orbit filtration. For a general double EPW sextic $X$, we also relate the anti-invariant part of the Chow motive of $X$ with the motive of a Gushel-Mukai fourfold. As an application, we obtain a similar result for certain Fano varieties of lines in cubics with infinite-order birational automorphisms. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_16289 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Double EPW sextics and the Voisin filtration on zero-cycles Bolognesi, Michele Laterveer, Robert Algebraic Geometry 14C15, 14C25, 14J42 Let $X$ be a double EPW sextic, and $ι$ its anti-symplectic involution. We relate the $ι$-anti-invariant part of the Chow group of zero-cycles of $X$ with Voisin's rational orbit filtration. For a general double EPW sextic $X$, we also relate the anti-invariant part of the Chow motive of $X$ with the motive of a Gushel-Mukai fourfold. As an application, we obtain a similar result for certain Fano varieties of lines in cubics with infinite-order birational automorphisms. |
| title | Double EPW sextics and the Voisin filtration on zero-cycles |
| topic | Algebraic Geometry 14C15, 14C25, 14J42 |
| url | https://arxiv.org/abs/2410.16289 |