Exterior power of stable vector bundle destabilized by Frobenius pull-back
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909924347346944 |
|---|---|
| author | Zhang, Yongming |
| author_facet | Zhang, Yongming |
| contents | In this paper, we prove that for any smooth projective curve $C$ of genus $g\geq2$ over an algebraically closed field of positive characteristic, there exists a stable vector bundle over $C$ whose exterior power is not semi-stable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20288 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exterior power of stable vector bundle destabilized by Frobenius pull-back Zhang, Yongming Algebraic Geometry In this paper, we prove that for any smooth projective curve $C$ of genus $g\geq2$ over an algebraically closed field of positive characteristic, there exists a stable vector bundle over $C$ whose exterior power is not semi-stable. |
| title | Exterior power of stable vector bundle destabilized by Frobenius pull-back |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2511.20288 |