A note on Kodaira vanishing on surfaces
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910686516346880 |
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| author | Martinez, Cristian |
| author_facet | Martinez, Cristian |
| contents | We give a proof of the Kodaira vanishing theorem on smooth complex surfaces using geometric stability conditions. Likewise, we give a new proof of a result of Xie characterizing the counterexamples of the Kodaira vanishing theorem in positive characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03510 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on Kodaira vanishing on surfaces Martinez, Cristian Algebraic Geometry 14D20, 14J27 (primary), 14F08 (secondary) We give a proof of the Kodaira vanishing theorem on smooth complex surfaces using geometric stability conditions. Likewise, we give a new proof of a result of Xie characterizing the counterexamples of the Kodaira vanishing theorem in positive characteristic. |
| title | A note on Kodaira vanishing on surfaces |
| topic | Algebraic Geometry 14D20, 14J27 (primary), 14F08 (secondary) |
| url | https://arxiv.org/abs/2411.03510 |