6533b833fe1ef96bd129c09c

RESEARCH PRODUCT

On Shimura subvarieties generated by families of abelian covers ofP1

Abolfazl MohajerKang Zuo

subject

Discrete mathematicsPure mathematicsAlgebra and Number TheoryMathematics::Number Theory010102 general mathematics05 social sciences01 natural sciencesMathematics::Algebraic GeometryMonodromy0502 economics and business0101 mathematicsAbelian groupLocus (mathematics)050203 business & managementMathematics

description

We investigate the occurrence of Shimura (special) subvarieties in the locus of Jacobians of abelian Galois covers of P1 in Ag and give classifications of families of such covers that give rise to Shimura subvarieties in the Torelli locus Tg inside Ag. Our methods are based on Moonen–Oort works as well as characteristic p techniques of Dwork and Ogus and Monodromy computations.

yearjournalcountryeditionlanguage
2018-04-01Journal of Pure and Applied Algebra
https://doi.org/10.1016/j.jpaa.2017.05.015