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≥ 4. In particular, Shimura curves of Mumford type are not generically in the Torelli locus of non-hyperelliptic curves of genus g≥ 4.
No takes yet. Share an insight, caveat, or question.
Lü et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: