A Non-Abelian Approach to Riemann Surfaces Part I: Wronskian Geometry
Algebraic Geometry
2025-11-18 v1 Complex Variables
Differential Geometry
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.
Keywords
Cite
@article{arxiv.2511.12337,
title = {A Non-Abelian Approach to Riemann Surfaces Part I: Wronskian Geometry},
author = {Mehrzad Ajoodanian},
journal= {arXiv preprint arXiv:2511.12337},
year = {2025}
}