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arxiv: 1611.01625 · v1 · pith:HSYJAA5Cnew · submitted 2016-11-05 · 🧮 math.AG

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

classification 🧮 math.AG
keywords modulispaceconnectionscurvesdefinedeformationisomonodromicparabolic
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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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