On a conjecture about Higgs bundles for rank 2 and some inequalities
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866916543825182720 |
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| author | Bruzzo, Ugo Otero, Beatriz Graña Ruipérez, Daniel Hernández |
| author_facet | Bruzzo, Ugo Otero, Beatriz Graña Ruipérez, Daniel Hernández |
| contents | We briefly review an open conjecture about Higgs bundles that are semistable with after pulling back to any curve, and prove it in the rank 2 case. We also prove a set of inequalities holding for H-nef Higgs bundles that generalize some of the Fulton-Lazarsfeld inequalities for numerically effective vector bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_10554 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On a conjecture about Higgs bundles for rank 2 and some inequalities Bruzzo, Ugo Otero, Beatriz Graña Ruipérez, Daniel Hernández Algebraic Geometry 14H60, 14J60 We briefly review an open conjecture about Higgs bundles that are semistable with after pulling back to any curve, and prove it in the rank 2 case. We also prove a set of inequalities holding for H-nef Higgs bundles that generalize some of the Fulton-Lazarsfeld inequalities for numerically effective vector bundles. |
| title | On a conjecture about Higgs bundles for rank 2 and some inequalities |
| topic | Algebraic Geometry 14H60, 14J60 |
| url | https://arxiv.org/abs/2208.10554 |