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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.22402 |
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| _version_ | 1866913152697892864 |
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| author | Biswas, Indranil Misra, Snehajit Ray, Nabanita |
| author_facet | Biswas, Indranil Misra, Snehajit Ray, Nabanita |
| contents | In \cite{BCO25}, Bruzzo, Capasso and Otero extended the notion of ampleness of vector bundles to the more general context of Higgs bundles. But the ampleness of Higgs bundles did not coincide with the ampleness of vector bundles when the Higgs field is zero. We modify the definition of ample Higgs bundles that results in removal of this discrepancy. Invoking this definition, we study various properties of Higgs ample vector bundles. In particular, we prove a Barton-Kleimann type criterion to characterize the Higgs ample vector bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22402 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Positivity of Higgs Vector Bundles Biswas, Indranil Misra, Snehajit Ray, Nabanita Algebraic Geometry In \cite{BCO25}, Bruzzo, Capasso and Otero extended the notion of ampleness of vector bundles to the more general context of Higgs bundles. But the ampleness of Higgs bundles did not coincide with the ampleness of vector bundles when the Higgs field is zero. We modify the definition of ample Higgs bundles that results in removal of this discrepancy. Invoking this definition, we study various properties of Higgs ample vector bundles. In particular, we prove a Barton-Kleimann type criterion to characterize the Higgs ample vector bundles. |
| title | Positivity of Higgs Vector Bundles |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2605.22402 |