A bound on the dimension of a totally geodesic submanifold in the Prym locus
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2017
- DOI:
- 10.48550/arXiv.1711.03421
- arXiv:
- arXiv:1711.03421
- Bibcode:
- 2017arXiv171103421C
- Keywords:
-
- Mathematics - Algebraic Geometry