Data for Shimura varieties intersecting the Torelli locus

2021/05/05 by Li, Wanlin, Mantovan, Elena, Pries, Rachel
#11G10 #11G15 #11G18 #11G30 #11R18 #14G35 #14H10 #14H40 #14K10 #14K22 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2105.02286

Abstract

For infinitely many Hurwitz spaces parametrizing cyclic covers of the projective line, we provide a method to determine the integral PEL datum of the Shimura variety that contains the image of the Hurwitz space under the Torelli morphism.

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