6533b82dfe1ef96bd12914ed

RESEARCH PRODUCT

On Shimura subvarieties of the Prym locus

Abolfazl Mohajer

subject

Shimura varietyPure mathematicsAlgebra and Number TheoryMathematics::Number Theory010102 general mathematics010103 numerical & computational mathematicsHigh dimensionalPrym variety01 natural sciencesMathematics - Algebraic GeometryMathematics::Algebraic GeometryFOS: Mathematics0101 mathematicsAbelian groupLocus (mathematics)Algebraic Geometry (math.AG)Mathematics

description

We show that families of Pryms of abelian Galois covers of $\mathbb{P}^1$ in $A_{g-1}$ (resp. $A_g$) do not give rise to high dimensional Shimura subvareties.

http://arxiv.org/abs/1804.10131