2 papers
math.AG2026
Non-existence of Shimura curves of Mumford type generically in the non-hyperelliptic locus
Xin Lu, Shengli Tan, Kang Zuo
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 . In particular…
math.AG2024
The Poincaré Problem for a foliated surface
Xin Lü, Shengli Tan
Let be a foliation on a smooth projective surface over the complex number . We introduce three birational non-negative invariants ,…