A note on Hurwitz schemes of covers of a positive genus curve

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We prove the irreducibility of the space parametrizing branched covers of a fixed Riemann surface $B$ of degree $d$, with at least 2d branch points, and with monodromy group equal to $S_d$. The result is classical for $g(B)=0$. The result is well-known for $g(B) > 0$, but we could find no reference.
15 pages, 9 figures

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Algebraic Geometry, Algebraic Topology, 14H30; 57M12

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http://salesiana.dossiersoluciones.com/handle/123456789/63990

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0205056
 http://arxiv.org/abs/math/0205056

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arXiv