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arXiv · 2511.12337

A Non-Abelian Approach to Riemann Surfaces Part I: Wronskian Geometry

Mehrzad Ajoodanian
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Abstract

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.

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BibTeXRIS

Mehrzad Ajoodanian. 2025-11-15. A Non-Abelian Approach to Riemann Surfaces Part I: Wronskian Geometry. https://arxiv.org/abs/2511.12337

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