Ranks of matrix factorizations and sheaf cohomology
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916901726191616 |
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| author | Brown, Michael K. Walker, Mark E. |
| author_facet | Brown, Michael K. Walker, Mark E. |
| contents | Buchweitz-Greuel-Schreyer conjectured in 1987 a lower bound on the ranks of matrix factorizations over certain local hypersurface rings. We study a graded version of this conjecture, and we show that it implies a novel conjecture concerning the cohomology of sheaves over non-Fano projective hypersurfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01060 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ranks of matrix factorizations and sheaf cohomology Brown, Michael K. Walker, Mark E. Algebraic Geometry Commutative Algebra 13D02, 14F08 Buchweitz-Greuel-Schreyer conjectured in 1987 a lower bound on the ranks of matrix factorizations over certain local hypersurface rings. We study a graded version of this conjecture, and we show that it implies a novel conjecture concerning the cohomology of sheaves over non-Fano projective hypersurfaces. |
| title | Ranks of matrix factorizations and sheaf cohomology |
| topic | Algebraic Geometry Commutative Algebra 13D02, 14F08 |
| url | https://arxiv.org/abs/2412.01060 |