Moduli of regular singular parabolic connections of spectral type on smooth projective curves

Michi-aki Inaba; Masa-Hiko Saito

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arXiv · 1611.01625

Moduli of regular singular parabolic connections of spectral type on smooth projective curves

Michi-aki Inaba·Masa-Hiko Saito

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Abstract

We define a moduli space of stable regular singular parabolic connections of spectral type on smooth projective curves and show the smoothness of the moduli space and give a relative symplectic structure on the moduli space. Moreover, we define the isomonodromic deformation on this moduli space and prove the geometric Painlev\'e property of the isomonodromic deformation.

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Michi-aki Inaba, Masa-Hiko Saito. 2016-11-05. Moduli of regular singular parabolic connections of spectral type on smooth projective curves. https://arxiv.org/abs/1611.01625

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