3 papers
math.AG2026
When is a polynomial in three variables cylindrical?
Xiaojin Lin
We prove that a nonconstant polynomial is cylindrical (that is, after an invertible linear change of coordinates) if and onl…
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…