Kuznetsov Categories for Gauged Linear Sigma Models
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912779849433088 |
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| author | Favero, David Kaplan, Daniel Kelly, Tyler L. |
| author_facet | Favero, David Kaplan, Daniel Kelly, Tyler L. |
| contents | We define Kuznetsov and anti-Kuznetsov categories for gauged linear sigma models. We show that for complete intersections of ample divisors in smooth projective toric varieties, the Kuznetsov category is left orthogonal to an exceptional collection. We prove that any complete intersection of $r \ge 2$ ample divisors in a Fano GIT quotient is a Fano visitor and the derived category of its Fano host is equivalent to an anti-Kuznetsov category of a gauged linear sigma model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18402 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kuznetsov Categories for Gauged Linear Sigma Models Favero, David Kaplan, Daniel Kelly, Tyler L. Algebraic Geometry 14J45, 14J70, 14L24, 14F08, 14M10 We define Kuznetsov and anti-Kuznetsov categories for gauged linear sigma models. We show that for complete intersections of ample divisors in smooth projective toric varieties, the Kuznetsov category is left orthogonal to an exceptional collection. We prove that any complete intersection of $r \ge 2$ ample divisors in a Fano GIT quotient is a Fano visitor and the derived category of its Fano host is equivalent to an anti-Kuznetsov category of a gauged linear sigma model. |
| title | Kuznetsov Categories for Gauged Linear Sigma Models |
| topic | Algebraic Geometry 14J45, 14J70, 14L24, 14F08, 14M10 |
| url | https://arxiv.org/abs/2512.18402 |