activity
20152026
most citedEffectivity in the Hyperbolicity-related problems

14 citations · 72 across the 22 of their papers we have counts for

collaborators

23 papers

math.AG2026

A flatness criterion for pseudo-effective sheaves on compact Kähler spaces

Junyan Cao, Ya Deng, Shin-ichi Matsumura

In this paper, we prove that if is a pseudo-effective sheaf with vanishing first Chern class on a klt compact Kähler space , then, after passing to a finite quasi-étale cove…

math.AG2026

Two-step nilpotent monodromy of local systems on special varieties

Junyan Cao, Ya Deng, Christopher D. Hacon +1

We address a question of Campana by giving a criterion for when nilpotent local systems on quasi-projective varieties have 2-step nilpotent monodromy. As an application, we prove t…

math.AG2023★ 1 cited

Reductive Shafarevich Conjecture

Ya Deng, Katsutoshi Yamanoi, Ludmil Katzarkov

In this paper, we prove the holomorphic convexity of the covering of a complex projective {normal} variety , which corresponds to the intersection of kernels of reductive repres…

math.AG2022★ 3 cited

Hyperbolicity and fundamental groups of complex quasi-projective varieties

Benoit Cadorel, Ya Deng, Katsutoshi Yamanoi

This paper investigates the relationship between the hyperbolicity of complex quasi-projective varieties and the (topological) fundamental group in the presence of a l…

math.AG2022

On the nilpotent orbit theorem of complex variations of Hodge structure

Ya Deng

We prove some results on the nilpotent orbit theorem for complex variation of Hodge structures.

math.AG2021★ 2 cited

Picard hyperbolicity of manifolds admitting nilpotent harmonic bundles

Benoît Cadorel, Ya Deng

For a quasi-compact Kähler manifold endowed with a nilpotent harmonic bundle whose Higgs field is injective at one point, we prove that is pseudo-algebraically hyperbolic,…