Moduli spaces of framed logarithmic and parabolic connections on a Riemann surface

Fuente: arXiv
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Hauptverfasser: Biswas, Indranil, Inaba, Michi-aki, Komyo, Arata, Saito, Masa-Hiko
Format: Preprint
Veröffentlicht: 2025
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author Biswas, Indranil
Inaba, Michi-aki
Komyo, Arata
Saito, Masa-Hiko
author_facet Biswas, Indranil
Inaba, Michi-aki
Komyo, Arata
Saito, Masa-Hiko
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_00931
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Moduli spaces of framed logarithmic and parabolic connections on a Riemann surface
Biswas, Indranil
Inaba, Michi-aki
Komyo, Arata
Saito, Masa-Hiko
Algebraic Geometry
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.
title Moduli spaces of framed logarithmic and parabolic connections on a Riemann surface
topic Algebraic Geometry
url https://arxiv.org/abs/2504.00931