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

Autor:	Michi-aki Inaba, Masa-Hiko Saito
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Pure mathematics General Mathematics Mathematics::Classical Analysis and ODEs Structure (category theory) Type (model theory) moduli space of parabolic connections geometric Painlevé property 01 natural sciences Moduli 34M56 Mathematics::Algebraic Geometry 0103 physical sciences 34M55 0101 mathematics Mathematics::Symplectic Geometry Mathematics Smoothness Riemann–Hilbert correspondence 010102 general mathematics Moduli space 14D20 higher dimensional Painlevé equations regular singular connection of spectral type Nonlinear Sciences::Exactly Solvable and Integrable Systems symplectic structure isomonodromic deformation of linear connection 010307 mathematical physics Isomonodromic deformation Symplectic geometry
Zdroj:	J. Math. Soc. Japan 70, no. 3 (2018), 879-894
Popis:	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 Painleve property of the isomonodromic deformation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc32d82f4496bc1a510fd798bcdde36e https://projecteuclid.org/euclid.jmsj/1527795357 Zobrazit plný text záznamu