Irreducibility of Hurwitz spaces of coverings with one special fiber and monodromy group a Weyl group of type D_d

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    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.
    Lingua originaleEnglish
    pagine (da-a)353-368
    Numero di pagine16
    RivistaManuscripta Mathematica
    Volume125
    Stato di pubblicazionePublished - 2008

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    All Science Journal Classification (ASJC) codes

    • Mathematics(all)

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