We compute the Kodaira dimension of the universal Picard variety Pd,g parameterizing line bundles of degree don curves of genus g under the assumption that (d−g+1,2g− 2)=1. We also give partial results for arbitrary degrees d and we investigate for which degrees the universal Picard varieties are birational.

On the birational geometry of the universal Picard variety

Fontanari, Claudio;
2012-01-01

Abstract

We compute the Kodaira dimension of the universal Picard variety Pd,g parameterizing line bundles of degree don curves of genus g under the assumption that (d−g+1,2g− 2)=1. We also give partial results for arbitrary degrees d and we investigate for which degrees the universal Picard varieties are birational.
2012
4
G., Bini; Fontanari, Claudio; F., Viviani
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/89102
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