Abstract
We define a moduli space of stable regular singular parabolic connections with given 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 Painlevé property of the isomonodromic deformation.
Funding Statement
This work was partly supported by JSPS KAKENHI: Grant Numbers JP17H06127, JP15K13427, JP24224001, JP22740014, JP26400043.
Citation
Michi-aki INABA. Masa-Hiko SAITO. "Moduli of regular singular parabolic connections with given spectral type on smooth projective curves." J. Math. Soc. Japan 70 (3) 879 - 894, July, 2018. https://doi.org/10.2969/jmsj/76597659
Information
