1 citations · 5 across the 13 of their papers we have counts for
13 papers
Finite Gram Scalarization and Further Properties of Multiplier Submodule Sheaves
Jingcao Wu
Let be a singular Hermitian vector bundle on a complex manifold , and let \[ \mathcal E(h)_x=\{F\in\mathcal O(E)_x:|F|_h^2\in L^1_{\mathrm{loc},x}\} \] be its multiplier…
A relative Nadel-type vanishing theorem
Jingcao Wu
Let be a Kähler fibration from a complex manifold to an analytic space . We show several relative Nadel-type vanishing theorems.
The Kawamata--Viehweg--Nadel-type vanishing theorem and the asymptotic multiplier ideal sheaf
Jingcao Wu
In this paper we establish a Nadel-type vanishing theorem and a Kawamata--Viehweg-type vanishing theorem concerning the asymptotic multiplier ideal sheaf on a compact Kähler manifo…
On the global generation of higher direct images of pluricanonical bundles
Jixiang Fu, Jingcao Wu
Given a fibration between two projective manifolds and , we discuss the effective generation of the higher direct images , where is…
Nefness of the direct images of pluricanonical bundles
Jingcao Wu
Given a fibration between two projective manifolds and , we provide a sufficient condition such that the direct images $f_{\ast}(K_{X/Y}\otimes L\otimes\mathscr{I}(f,\|L…
A Nadel-type vanishing theorem concerning the asymptotic multiplier ideal sheaf
Jingcao Wu
In this paper we establish a Nadel-type vanishing theorem on a projective manifold concerning the asymptotic multiplier ideal sheaf.
The harmonic theory on a vector bundle with singular Hermitian metrics and positivity
Jingcao Wu
Let be a holomorphic vector bundle endowed with a singular Hermitian metric . In this paper, we develop the harmonic theory on . Then we extend several canonical resu…
An alternative approach on the singular metric on a vector bundle
Jingcao Wu
In this paper, we will provide an alternative definition for the singular Hermitian metric on a vector bundle. Moreover, we discuss the Griffiths and Nakano positivities under this…
On the modified ideal sheaf
Jingcao Wu
It is a sequel to (Wu in arXiv:2003.05187). In that paper, we introduce a notion called modified ideal sheaf in order to make an asymptotic estimate for the order of the cohomology…
An eigenvalue estimate for the -Laplacian associated to a nef line bundle
Jingcao Wu
We study the -Laplacian on forms taking values in , a high power of a nef line bundle on a compact complex manifold, and give an estimate of the number of th…
A Kollár-type vanishing theorem
Jingcao Wu
Let be a smooth fibration between two complex manifolds and , and let be a pseudo-effective line bundle on . We obtain a sufficient condition for $…
Nefness of the direct images of relative canonical bundles
Jingcao Wu
Given a fibration between two projective manifolds and , we discuss the nefness of the direct images , where is a pseudo-effective li…
Symmetrization of plurisubharmonic functions on the Fano manifolds
Jingcao Wu
Given a compact complex manifold with a negative line bundle , we study the Schwarz-type symmetrization on the total space of . We prove that this symmetriza…