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arXiv · 1711.03421

A bound on the dimension of a totally geodesic submanifold in the Prym locus

Elisabetta Colombo·Paola Frediani
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Abstract

We give an upper bound for the dimension of a germ of a totally geodesic submanifold, and hence of a Shimura variety of A_{g-1}, contained in the Prym locus. First we give such a bound for a germ passing through a Prym variety of a k-gonal curve in terms of the gonality k. Then we deduce a bound only depending on the genus g.

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Elisabetta Colombo, Paola Frediani. 2017-11-09. A bound on the dimension of a totally geodesic submanifold in the Prym locus. https://arxiv.org/abs/1711.03421

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