Jingcao Wu

activity

20182026

most citedAn alternative approach on the singular metric on a vector bundle

1 citations · 3 across the 7 of their papers we have counts for

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4 papers · 1 filter

math.CV2026

Finite Gram Scalarization and Further Properties of Multiplier Submodule Sheaves

Jingcao Wu

Let $(E, h)$ be a singular Hermitian vector bundle on a complex manifold $X$ , and let \[ \mathcal E(h)_x=\{F\in\mathcal O(E)_x:|F|_h^2\in L^1_{\mathrm{loc},x}\} \] be its multiplier…

math.CV2020

An eigenvalue estimate for the $\partial ˉ$ -Laplacian associated to a nef line bundle

Jingcao Wu

We study the $\partial ˉ$ -Laplacian on forms taking values in $L^{k}$ , a high power of a nef line bundle on a compact complex manifold, and give an estimate of the number of th…

math.CV2019

A Kollár-type vanishing theorem

Jingcao Wu

Let $f : X \to Y$ be a smooth fibration between two complex manifolds $X$ and $Y$ , and let $L$ be a pseudo-effective line bundle on $X$ . We obtain a sufficient condition for $…

math.CV2018

Symmetrization of plurisubharmonic functions on the Fano manifolds

Jingcao Wu

Given a compact complex manifold $Y$ with a negative line bundle $L \to Y$ , we study the Schwarz-type symmetrization on the total space of $L$ . We prove that this symmetriza…

Finite Gram Scalarization and Further Properties of Multiplier Submodule Sheaves

An eigenvalue estimate for the ∂ˉ-Laplacian associated to a nef line bundle

A Kollár-type vanishing theorem

Symmetrization of plurisubharmonic functions on the Fano manifolds

An eigenvalue estimate for the $\partial ˉ$ -Laplacian associated to a nef line bundle