A Note on Hurwitz Schemes of Covers of a Positive Genus Curve

نویسندگان

  • JOE HARRIS
  • TOM GRABER
  • JASON STARR
چکیده

Let B be a smooth, connected, projective complex curve of genus h. For w ≥ 2d we prove the irreducibility of the Hurwitz stack H Sd (B) parametrizing degree d covers of B simply-branched over w points, and with monodromy group Sd.

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تاریخ انتشار 1986