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.File in questo prodotto:
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