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math.AG2021
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…
math.AG2021★ 1 cited
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.
math.DG2021
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…