Let Y be a smooth, connected, projective complex curve. In this paper, we study the Hurwitz spaces which parameterize branched coverings of Y whose monodromy group is a Weyl group of type D d and whose local monodromies are all reflections except one. We prove the irreducibility of these spaces when Y≃P1 and successively we extend the result to curves of genus g ≥ 1.
VETRO F (2008). Irreducibility of Hurwitz spaces of coverings with one special fiber and monodromy group a Weyl group of type D_d. MANUSCRIPTA MATHEMATICA, 125, 353-368 [10.1007/s00229-007-0153-8].
Irreducibility of Hurwitz spaces of coverings with one special fiber and monodromy group a Weyl group of type D_d
VETRO, Francesca
2008-01-01
Abstract
Let Y be a smooth, connected, projective complex curve. In this paper, we study the Hurwitz spaces which parameterize branched coverings of Y whose monodromy group is a Weyl group of type D d and whose local monodromies are all reflections except one. We prove the irreducibility of these spaces when Y≃P1 and successively we extend the result to curves of genus g ≥ 1.File in questo prodotto:
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