Shuang Su

collaborators

4 papers

math.CV2025

Singularity of non-pluripolar cohomology classes

Duc-Bao Nguyen, Shuang Su, Duc-Viet Vu

We establish a relation between Lelong numbers and the full mass property of relative non-pluripolar products. We use this relation to prove that if the restricted volume of a big…

math.DG2025

Relative non-pluripolar product of currents on compact Hermitian manifolds

Zhenghao Li, Shuang Su

Let $(X, ω)$ be a compact Hermitian manifold. Assume that the Hermitian form $ω$ satisfies $\partial \partial ω = 0$ , $\partial ω \land \partial ω = 0$ . We prove th…

math.CV2025

Singularities of currents of full mass intersection

Shuang Su

In this paper, we study currents that have full mass intersection with respect to given currents in the mixed setting on a compact KÃ¤hler manifold. We compare their singularities…

math.CV2024

Volumes of components of Lelong upper level sets II

Shuang Su, Duc-Viet Vu

Let $X$ be a compact KÃ¤hler manifold of dimension $n$ , and let $T$ be a closed positive $(1, 1)$ -current in a nef cohomology class on $X$ . We establish an optimal upper bound for t…