Line bundles on the moduli space of parabolic connections over a compact Riemann surface
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DOI: 10.1016/j.aim.2022.108360
Abstract: Let X be a compact Riemann surface of genus g ≥ 3 and S a finite subset of X . Let ξ be fixed a holomorphic line bundle over X of degree d. LetMpc(r, d,… read more here.
Keywords: moduli space; compact riemann; riemann surface; line ... See more keywords
Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections
Sign Up to like & getrecommendations! Published in 2021 at "Journal of the Mathematical Society of Japan"
DOI: 10.2969/jmsj/83858385
Abstract: In this paper, we treat moduli spaces of parabolic connections. We take \'etale coverings of the moduli spaces, and we construct a Hamiltonian structure of an algebraic vector field determined by the isomonodromic deformation for… read more here.
Keywords: parabolic connections; moduli spaces; isomonodromic deformations; structures isomonodromic ... See more keywords