Ya Deng

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20222025

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Showing 2024 · math.AGShow all

4 papers · 2 filters

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…

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…

Deformation Openness of Big Fundamental Groups and Applications

L2-vanishing theorem and a conjecture of Kollár

Linear Chern-Hopf-Thurston conjecture

Linear Shafarevich Conjecture in positive characteristic, Hyperbolicity and Applications

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