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

Abstract

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.

31 pages, final version

References in corpus (1)

• Twisted wild character varieties

Cited by in corpus (3)

• Normal forms for rank two linear irregular differential equations and moduli spaces
• Classification of algebraic solutions of irregular Garnier systems
• Two-dimensional moduli spaces of irregular Higgs bundles