Non-existence of Shimura curves of Mumford type generically in the non-hyperelliptic locus

We show that there does not exist any Shimura curve with strictly maximal Higgs field generically in the Torelli locus of non-hyperelliptic curves of genus $g\geq 4$. In particular, Shimura curves of Mumford type are not generically in the Torelli locus of non-hyperelliptic curves of genus $g\geq 4$.Comment: Any comment is welcom

Sherlock Holmes as a romantic detective: A stylistic analysis of Holmes's Use of Language

Master'sMASTER OF ART