Vanishing Chern classes for numerically flat Higgs bundles
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2020
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| Materias: | |
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| _version_ | 1866918119524532224 |
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| author | Capasso, Armando |
| author_facet | Capasso, Armando |
| contents | I consider Higgs bundles satisfying a notion of ampleness that was introduce Bruzzo, Graña Otero and Hernández Ruipérez, and prove that the Chern classes of rank $r$ H-ample Higgs bundles over dimension $n$, polarized, smooth, complex, projective varieties are positive under opportune hypothesis. I extend this to non-negativeness of Chern classes of all numerically effective Higgs bundles; and use this condition to prove the vanishing of Chern classes of numerically flat Higgs bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_09217 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Vanishing Chern classes for numerically flat Higgs bundles Capasso, Armando Algebraic Geometry Primary 14H60, 14J60, secondary 14D20, 14D21, 14F05 I consider Higgs bundles satisfying a notion of ampleness that was introduce Bruzzo, Graña Otero and Hernández Ruipérez, and prove that the Chern classes of rank $r$ H-ample Higgs bundles over dimension $n$, polarized, smooth, complex, projective varieties are positive under opportune hypothesis. I extend this to non-negativeness of Chern classes of all numerically effective Higgs bundles; and use this condition to prove the vanishing of Chern classes of numerically flat Higgs bundles. |
| title | Vanishing Chern classes for numerically flat Higgs bundles |
| topic | Algebraic Geometry Primary 14H60, 14J60, secondary 14D20, 14D21, 14F05 |
| url | https://arxiv.org/abs/2004.09217 |