No Shimura curves with strictly maximal Higgs field exist generically in the Torelli locus of non-hyperelliptic curves of genus g ≥ 4.
o ller. Shimura and T eichm\
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Non-existence of Shimura curves of Mumford type generically in the non-hyperelliptic locus
No Shimura curves with strictly maximal Higgs field exist generically in the Torelli locus of non-hyperelliptic curves of genus g ≥ 4.