Pullback and Direct Image of Parabolic Ample and Parabolic Nef Vector Bundles
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866912849029234688 |
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| author | Bansal, Ashima Biswas, Indranil |
| author_facet | Bansal, Ashima Biswas, Indranil |
| contents | We prove that under a finite surjective map of irreducible smooth complex projective curves, the pullback and direct image of a parabolic ample (respectively, parabolic nef) vector bundle is again parabolic ample (respectively, parabolic nef) if and only if the original parabolic vector bundle is parabolic ample (respectively, parabolic nef). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18166 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pullback and Direct Image of Parabolic Ample and Parabolic Nef Vector Bundles Bansal, Ashima Biswas, Indranil Algebraic Geometry 14E20, 14H60 We prove that under a finite surjective map of irreducible smooth complex projective curves, the pullback and direct image of a parabolic ample (respectively, parabolic nef) vector bundle is again parabolic ample (respectively, parabolic nef) if and only if the original parabolic vector bundle is parabolic ample (respectively, parabolic nef). |
| title | Pullback and Direct Image of Parabolic Ample and Parabolic Nef Vector Bundles |
| topic | Algebraic Geometry 14E20, 14H60 |
| url | https://arxiv.org/abs/2601.18166 |