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

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.

Keywords

moduli space, ramified connection, symplectic form

2010 Mathematics Subject Classification

14D20, 32G34, 34M55, 53D30

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Received 26 March 2021

Accepted 20 August 2021

Published 30 January 2023