1 citations · 3 across the 6 of their papers we have counts for
9 papers
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…