Ya Deng

activity

20222025

collaborators

9 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.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…

cs.DM2024

A Novel Approach for Bent Functions with Dillon-like Exponents and Characterizing Three Classes of Bent Functions via Kloosterman Sums

Ziran Tu, Sihem Mesnager, Xiangyong Zeng +3

Dillon-like Boolean functions are known, in the literature, to be those trace polynomial functions from $F_{2^{2 n}}$ to $F_{2}$ , with all the exponents being mult…

math.CV2024

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:π…

math.AG2024

$L^{2}$ -vanishing theorem and a conjecture of Kollár

Ya Deng, Botong Wang

In 1995, Kollár conjectured that a smooth complex projective $n$ -fold $X$ with generically large fundamental group has Euler characteristic $χ (X, K_{X}) \geq 0$ . In this paper, we pro…

math.AG2024

Linear Chern-Hopf-Thurston conjecture

Ya Deng, Botong Wang

If $X$ is a closed $2 n$ -dimensional aspherical manifold, i.e., the universal cover of $X$ is contractible, then the Chern-Hopf-Thurston conjecture predicts that $(- 1)^{n} χ (X) \geq 0$ .…

math.AG2024

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 $ϱ : π_{1} (X) \to GL_{N} (K)$ with $K$ any field of positive characteristic, we mainly establi…

math.AG2023

Quasi-finiteness of morphisms between character varieties

Ya Deng, Yuan Liu

Let $f : Y \to X$ be a morphism between smooth complex quasi-projective varieties and $Z$ be the closure of $f (Y)$ with $ι : Z \to X$ the inclusion map. We prove that a. for any field…

math.AG2022

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:…

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

Deformation Openness of Big Fundamental Groups and Applications

A Novel Approach for Bent Functions with Dillon-like Exponents and Characterizing Three Classes of Bent Functions via Kloosterman Sums

Existence and unicity of pluriharmonic maps to Euclidean buildings and applications

L2-vanishing theorem and a conjecture of Kollár

Linear Chern-Hopf-Thurston conjecture

Linear Shafarevich Conjecture in positive characteristic, Hyperbolicity and Applications

Quasi-finiteness of morphisms between character varieties

Pluriharmonic maps into buildings and symmetric differentials

$L^{2}$ -vanishing theorem and a conjecture of Kollár