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 Ag-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.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.