Kuznetsov's Fano threefold conjecture via Hochschild-Serre algebra
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913558548185088 |
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| author | Lin, Xun Zhang, Shizhuo |
| author_facet | Lin, Xun Zhang, Shizhuo |
| contents | Let $Y$ be a smooth quartic double solid regarded as a degree 4 hypersurface of the weighted projective space $\mathbb{P}(1,1,1,1,2)$. We study the multiplication of Hochschild-Serre algebra of its Kuznetsov component $\mathcal{K}u(Y)$, via matrix factorization. As an application, we give a new disproof of Kuznetsov's Fano threefold conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_06450 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Kuznetsov's Fano threefold conjecture via Hochschild-Serre algebra Lin, Xun Zhang, Shizhuo Algebraic Geometry 14F05, 14J45, 14D20, 14D23 Let $Y$ be a smooth quartic double solid regarded as a degree 4 hypersurface of the weighted projective space $\mathbb{P}(1,1,1,1,2)$. We study the multiplication of Hochschild-Serre algebra of its Kuznetsov component $\mathcal{K}u(Y)$, via matrix factorization. As an application, we give a new disproof of Kuznetsov's Fano threefold conjecture. |
| title | Kuznetsov's Fano threefold conjecture via Hochschild-Serre algebra |
| topic | Algebraic Geometry 14F05, 14J45, 14D20, 14D23 |
| url | https://arxiv.org/abs/2311.06450 |