On Shimura subvarieties generated by families of abelian covers of ℙ¹

2014/02/08 by Mohajer, Abolfazl, Zuo, Kang
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1402.1900

Abstract

We study the locus of abelian Galois covers of ℙ¹ in A_g and the problem of occurrence of Shimura (special) subvarieties generated by these covers in the Torelli locus T_g inside A_g. We first investigate the existence of Shimura subvarieties in the mentioned locus by some computational methods based on Moonen-Oort works and then exclude many cases using both characteristic p methods and monodromy computations.

Related

• On Shimura subvarieties of the Prym locus
• Shimura varieties in the Torelli locus via Galois coverings
• The Torelli locus and special subvarieties
• Shimura varieties and abelian covers of the line
• Shimura varieties in the Torelli locus via Galois coverings of elliptic curves