2 citations · 2 across the 5 of their papers we have counts for
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Parahoric reduction theory of formal connections (or Higgs fields)
Zhi Hu, Pengfei Huang, Ruiran Sun +1
In this paper, we establish the parahoric reduction theory of formal connections (or Higgs fields) on a formal principal bundle with parahoric structures, which generalizes Babbitt…
Hyperbolicity of varieties with big linear representation of
Ruiran Sun
We show the following algebraicity result for a complex projective variety with big representation of into a semi-simple algebraic group: There exists a proper subvariety…
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…