Anti-ample bundle, nef vector bundle, big vector bundle
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910509302808576 |
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| author | Biswas, Indranil Laytimi, Fatima Nagaraj, D. S. Nahm, Werner |
| author_facet | Biswas, Indranil Laytimi, Fatima Nagaraj, D. S. Nahm, Werner |
| contents | We prove that the direct image of an anti-ample vector bundle is anti-ample under any finite flat morphism of non-singular projective varieties. In the second part we prove some properties of big and nef vector bundles. In particular it is shown that the tensor product of a nef vector bundle with a nef and big vector bundle is again nef and big. This generalizes a result of Schneider. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01151 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anti-ample bundle, nef vector bundle, big vector bundle Biswas, Indranil Laytimi, Fatima Nagaraj, D. S. Nahm, Werner Algebraic Geometry 14F17, 14J60 We prove that the direct image of an anti-ample vector bundle is anti-ample under any finite flat morphism of non-singular projective varieties. In the second part we prove some properties of big and nef vector bundles. In particular it is shown that the tensor product of a nef vector bundle with a nef and big vector bundle is again nef and big. This generalizes a result of Schneider. |
| title | Anti-ample bundle, nef vector bundle, big vector bundle |
| topic | Algebraic Geometry 14F17, 14J60 |
| url | https://arxiv.org/abs/2407.01151 |