Non-existence of Shimura curves of Mumford type generically in the non-hyperelliptic locus
Abstract
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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.