We give an upper bound for the dimension of a germ of a totally geodesic sub-manifold, and hence of a Shimura variety of Ag−1, contained in the Prym locus. First we givesuch a bound for a germ passing through a Prym variety of ak-gonal curve in terms of thegonality k. Then we deduce a bound only depending on the genus g.

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

Frediani P.
2019-01-01

Abstract

We give an upper bound for the dimension of a germ of a totally geodesic sub-manifold, and hence of a Shimura variety of Ag−1, contained in the Prym locus. First we givesuch a bound for a germ passing through a Prym variety of ak-gonal curve in terms of thegonality k. Then we deduce a bound only depending on the genus g.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1209908
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