A Non-Abelian Approach to Riemann Surfaces Part I: Wronskian Geometry
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915620716544000 |
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| author | Ajoodanian, Mehrzad |
| author_facet | Ajoodanian, Mehrzad |
| contents | We study projectively flat holomorphic vector bundles over Riemann surfaces. To each such bundle, we naturally assign a Wronskian line bundle. The main idea is a notion of the division of two meromorphic sections. Abel's identity is interpreted as the first Chern class of the Wronskian line bundle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12337 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Non-Abelian Approach to Riemann Surfaces Part I: Wronskian Geometry Ajoodanian, Mehrzad Algebraic Geometry Complex Variables Differential Geometry We study projectively flat holomorphic vector bundles over Riemann surfaces. To each such bundle, we naturally assign a Wronskian line bundle. The main idea is a notion of the division of two meromorphic sections. Abel's identity is interpreted as the first Chern class of the Wronskian line bundle. |
| title | A Non-Abelian Approach to Riemann Surfaces Part I: Wronskian Geometry |
| topic | Algebraic Geometry Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2511.12337 |