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arXiv · 1105.2383

Rational correspondences between moduli spaces of curves defined by Hurwitz spaces

Gerard van der Geer·Alexis Kouvidakis
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Abstract

By associating to a curve C of genus g=2k and a pencil of degree d=k+1 the so-called trace curve (resp. the reduced trace curve) we define a rational map from the Hurwitz space of admissible covers of genus g=2k and degree d=k+1 to a moduli space of stable curves. We study the induced map between the divisor class groups of these moduli spaces of curves.

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Gerard van der Geer, Alexis Kouvidakis. 2011-05-12. Rational correspondences between moduli spaces of curves defined by Hurwitz spaces. https://arxiv.org/abs/1105.2383

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