Moduli spaces of framed logarithmic and parabolic connections on a Riemann surface
Algebraic Geometry
2025-06-18 v1
Abstract
We construct moduli spaces of framed logarithmic connections and also moduli spaces of framed parabolic connections. It is shown that these moduli spaces possess a natural algebraic symplectic structure. We also give an upper bound of the transcendence degree of the algebra of regular functions on the moduli space of parabolic connections.
Keywords
Cite
@article{arxiv.2504.00931,
title = {Moduli spaces of framed logarithmic and parabolic connections on a Riemann surface},
author = {Indranil Biswas and Michi-aki Inaba and Arata Komyo and Masa-Hiko Saito},
journal= {arXiv preprint arXiv:2504.00931},
year = {2025}
}
Comments
Final version; to appear in the journal "Moduli"