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arXiv · 2207.00884

Quotients of Jacobians

Arnaud Beauville
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Abstract

Let C be a curve of genus g, and G a finite group of automorphisms of C . We prove that for g > 20 the quotient JC/G has canonical singularities, hence Kodaira dimension 0. On the other hand we give examples of curves C with g < 5 for which JC/G is uniruled.

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Arnaud Beauville. 2022-07-02. Quotients of Jacobians. https://arxiv.org/abs/2207.00884

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