Generalized Bogomolov Inequalities
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913084069642240 |
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| author | Pavel, Mihai Ross, Julius Toma, Matei |
| author_facet | Pavel, Mihai Ross, Julius Toma, Matei |
| contents | We introduce the notion of a Hodge-Riemann pair of cohomology classes that generalizes the classical Hodge-Riemann bilinear relations, and the notion of a Bogomolov pair of cohomology classes that generalizes the Bogomolov inequality for semistable sheaves. We conjecture that every Hodge-Riemann pair is a Bogomolov pair, and prove various cases of this conjecture. As an application we get new results concerning boundedness of semistable sheaves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04663 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Bogomolov Inequalities Pavel, Mihai Ross, Julius Toma, Matei Algebraic Geometry 14D20, 32G13, 32J27 We introduce the notion of a Hodge-Riemann pair of cohomology classes that generalizes the classical Hodge-Riemann bilinear relations, and the notion of a Bogomolov pair of cohomology classes that generalizes the Bogomolov inequality for semistable sheaves. We conjecture that every Hodge-Riemann pair is a Bogomolov pair, and prove various cases of this conjecture. As an application we get new results concerning boundedness of semistable sheaves. |
| title | Generalized Bogomolov Inequalities |
| topic | Algebraic Geometry 14D20, 32G13, 32J27 |
| url | https://arxiv.org/abs/2510.04663 |