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arXiv · 1006.0722

On the birational geometry of the universal Picard variety

Gilberto Bini·Claudio Fontanari·Filippo Viviani
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Abstract

We compute the Kodaira dimension of the universal Picard variety P_{d,g} parameterizing line bundles of degree d on 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.

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Gilberto Bini, Claudio Fontanari, Filippo Viviani. 2011-03-21. On the birational geometry of the universal Picard variety. https://doi.org/10.1093/imrn%2Frnr045

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