Ya Deng

collaborators

7 papers

math.AG2025

Hyperbolicity and fundamental groups of complex quasi-projective varieties (II): via non-abelian Hodge theories

Benoit Cadorel, Ya Deng, Katsutoshi Yamanoi

This is Part II of a series of three papers. We studies the hyperbolicity of complex quasi-projective varieties $X$ in the presence of a big and reductive representation $\varrho:…

math.AG2025

Linear Shafarevich Conjecture in positive characteristic, Hyperbolicity and Applications

Ya Deng, Katsutoshi Yamanoi

Given a complex quasi-projective normal variety $X$ and a linear representation $ϱ : I ¨ _{1} (X) \to GL_{N} (K)$ with $K$ any field of positive characteristic, we mainly establ…

math.AG2025

$L^{2}$ -vanishing theorem and a conjecture of KollÃ¡r

Ya Deng, Botong Wang

In 1995, KollÃ¡r conjectured that a smooth complex projective $n$ -fold $X$ with generically large fundamental group has Euler characteristic $I ¨ (X, K_{X}) \geq 0$ . In this paper, we p…

math.AG2025

Pluriharmonic maps into buildings and symmetric differentials

Damian Brotbek, Georgios Daskalopoulos, Ya Deng +1

Given a complex smooth quasi-projective variety $X$ , a semisimple algebraic group $G$ defined over some non-archimedean local field $K$ and a Zariski dense representation $\varrho:…

math.CV2025

Existence and unicity of pluriharmonic maps to Euclidean buildings and applications

Ya Deng, Chikako Mese

Given a complex smooth quasi-projective variety $X$ , a reductive algebraic group $G$ defined over some non-archimedean local field $K$ and a Zariski dense representation $\varrho:Ï…

math.AG2024

Deformation Openness of Big Fundamental Groups and Applications

Ya Deng, Chikako Mese, Botong Wang

In 2001, de Oliveira, Katzarkov, and Ramachandran conjectured that the property of smooth projective varieties having big fundamental groups is stable under small deformations. Thi…

Hyperbolicity and fundamental groups of complex quasi-projective varieties (II): via non-abelian Hodge theories

Linear Shafarevich Conjecture in positive characteristic, Hyperbolicity and Applications

L2-vanishing theorem and a conjecture of KollÃ¡r

Pluriharmonic maps into buildings and symmetric differentials

Existence and unicity of pluriharmonic maps to Euclidean buildings and applications

Deformation Openness of Big Fundamental Groups and Applications

$L^{2}$ -vanishing theorem and a conjecture of KollÃ¡r