A note on Shimura subvarieties in the hyperelliptic Torelli locus

Abstract

We prove the non-existence of Shimura subvarieties of positive dimension contained generically in the hyperelliptic Torelli locus for curves of genus at least 8, which is an analogue of Oort's conjecture in the hyperelliptic case.

References in corpus (1)

• The Oort conjecture on Shimura curves in the Torelli locus of curves

Cited by in corpus (1)

• Finiteness of hyperelliptic and superelliptic curves with CM Jacobians