Double EPW sextics and the Voisin filtration on zero-cycles
| Autor: | Bolognesi, Michele, Laterveer, Robert |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | Let $X$ be a double EPW sextic, and $\iota$ its anti-symplectic involution. We relate the $\iota$-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. Comment: 21 pages, comments very welcome ! arXiv admin note: substantial text overlap with arXiv:2307.15240 |
| Databáze: | arXiv |
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