Moduli space of irregular singular parabolic connections of generic ramified type on a smooth projective curve

2016/06/08 by Michi-aki Inaba, Inaba, Michi-aki · 1 citation
Mathematics · #14D20 #32G34 #34M55 #53D30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometry and complex manifolds #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1606.02369

openalex publication_date 2016/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an algebraic construction of the moduli space of irregular singular connections of generic ramified type on a smooth projective curve. We prove that the moduli space is smooth and give its dimension. Under the assumption that the exponent of ramified type is generic, we give an algebraic symplectic form on the moduli space.

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• Normal forms for rank two linear irregular differential equations and\n moduli spaces

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