A Vanishing Theorem for Varieties with Finitely Many Solvable Group Orbits
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914709812281344 |
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| author | Wang, Yiyu |
| author_facet | Wang, Yiyu |
| contents | We reprove and generalize the result that the intersection cohomology groups of a toric variety with coefficient in a nontrivial rank one local system vanish. We prove a similar vanishing result for a certain class of varieties on which a connected linear solvable group acts, including all spherical varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_06027 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Vanishing Theorem for Varieties with Finitely Many Solvable Group Orbits Wang, Yiyu Algebraic Geometry Algebraic Topology We reprove and generalize the result that the intersection cohomology groups of a toric variety with coefficient in a nontrivial rank one local system vanish. We prove a similar vanishing result for a certain class of varieties on which a connected linear solvable group acts, including all spherical varieties. |
| title | A Vanishing Theorem for Varieties with Finitely Many Solvable Group Orbits |
| topic | Algebraic Geometry Algebraic Topology |
| url | https://arxiv.org/abs/2302.06027 |