2 papers
math.AG2026
Uniformization as Tannakian Reconstruction
Xiaojin Lin, Mao Sheng
Classical hyperbolic uniformization identifies every hyperbolic log-orbi curve with a compactified quotient of the upper half-plane by a cofinite Fuchsian lattice. The lattice is u…
math.AG2025
Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases
Xiaojin Lin
We introduce the concept of parabolic bases to establish a localized framework for parabolic bundles and parabolic -connections. Building on this foundation, we propose a novel…