A non-vanishing conjecture for cotangent bundles on elliptic surfaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909464087494656 |
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| author | Seo, Haesong |
| author_facet | Seo, Haesong |
| contents | In this paper, we prove the non-vanishing conjecture for cotangent bundles on isotrivial elliptic surfaces. Combined with the result by Höring and Peternell, it completely solves the question for surfaces with Kodaira dimension at most $1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07046 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A non-vanishing conjecture for cotangent bundles on elliptic surfaces Seo, Haesong Algebraic Geometry 14E05, 14J27 In this paper, we prove the non-vanishing conjecture for cotangent bundles on isotrivial elliptic surfaces. Combined with the result by Höring and Peternell, it completely solves the question for surfaces with Kodaira dimension at most $1$. |
| title | A non-vanishing conjecture for cotangent bundles on elliptic surfaces |
| topic | Algebraic Geometry 14E05, 14J27 |
| url | https://arxiv.org/abs/2406.07046 |