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

Published 15 Nov 2025 in math.AG, math.CV, and math.DG | (2511.12337v1)

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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Authors (1)

  1. Mehrzad Ajoodanian 

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