King's Conjecture and the Cox category
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arXiv
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866908718919057408 |
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| author | Ballard, Matthew R. Berkesch, Christine Brown, Michael K. Heller, Lauren Cranton Erman, Daniel Favero, David Ganatra, Sheel Hanlon, Andrew Huang, Jesse |
| author_facet | Ballard, Matthew R. Berkesch, Christine Brown, Michael K. Heller, Lauren Cranton Erman, Daniel Favero, David Ganatra, Sheel Hanlon, Andrew Huang, Jesse |
| contents | We state and prove a realization of King's Conjecture for a category glued from the derived categories of all of the toric varieties arising from a given Cox ring. Our perspective extends ideas of Beilinson and Bondal to all semiprojective toric varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00130 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | King's Conjecture and the Cox category Ballard, Matthew R. Berkesch, Christine Brown, Michael K. Heller, Lauren Cranton Erman, Daniel Favero, David Ganatra, Sheel Hanlon, Andrew Huang, Jesse Algebraic Geometry Commutative Algebra 14M25, 14F08, 13D02, 14J33, 16E35 We state and prove a realization of King's Conjecture for a category glued from the derived categories of all of the toric varieties arising from a given Cox ring. Our perspective extends ideas of Beilinson and Bondal to all semiprojective toric varieties. |
| title | King's Conjecture and the Cox category |
| topic | Algebraic Geometry Commutative Algebra 14M25, 14F08, 13D02, 14J33, 16E35 |
| url | https://arxiv.org/abs/2501.00130 |