12 citations · 22 across the 18 of their papers we have counts for
5 papers · 1 filter
Big Picard Theorem for jet differentials and Non-archimedean Ax-Lindemann Theorem
Dinh Tuan Huynh, Ruiran Sun, Song-Yan Xie
By implementing jet differential techniques in non-archimedean geometry, we obtain a big Picard type extension theorem, which generalizes a previous result of Cherry and Ru. As app…
Holomorphic curves in Base Spaces of Families of Polarized Manifolds
Steven Lu, Ruiran Sun, Kang Zuo
For a smooth family of polarized manifolds with semi-ample canonical sheaves, we show the following result: any entire curve must be contained in the fibers of the classi…
Non-archimedean hyperbolicity of the moduli space of curves
Ruiran Sun
Let be a complete algebraically closed non-archimedean valued field of characteristic zero, and let be a finite type scheme over . We say is -analytically Borel h…
Second Main Theorem on the Moduli Spaces of Polarized Varieties
Ruiran Sun
Let be a smooth log pair over such that the complement carries a maximally varied family of polarized manifolds. We prove a version of sec…
The Shafarevich conjecture revisited: Finiteness of pointed families of polarized varieties
Ariyan Javanpeykar, Ruiran Sun, Kang Zuo
Motivated by Lang-Vojta's conjectures on hyperbolic varieties, we prove a new version of the Shafarevich conjecture in which we establish the finiteness of pointed families of pola…