Moduli of Prym curves

Details Moduli of Prym curves Moduli of Prym curves

2003-04-15

arxiv.org/abs/math/0304197v2

Mathematics

Algebraic Geometry

Revised version, exposition improved, modified statement of Theorem 6

Scientific paper

Here we focus on the compactification of the moduli space of curves of genus g together with an unramified double cover, constructed by Arnaud Beauville in order to compactify the Prym mapping. We present an alternative description of it, inspired by the moduli space of spin curves of Maurizio Cornalba, and we discuss in detail its main features, both from a geometrical and a combinatorial point of view.

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