6 citations · 19 across the 15 of their papers we have counts for
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On a vanishing theorem due to Bogomolov
Xiaojun Wu
In this note, we give a new proof of a vanishing result originally due to Bogomolov, and later generalised by Mourougane and Boucksom. The statement holds for arbitrary pseudoeffec…
On Junyan Cao's vanishing theorem for pseudoeffective line bundles
Xiaojun Wu
Junyan Cao has obtained a very general vanishing theorem, valid on any compact Kähler manifold, for the cohomology groups with values in a pseudoeffective line bundle twisted by th…
On the Nakano vanishing theorem
Xiaojun Wu
In this note, we state various generalisations of the Nakano vanishing theorem under weak positivity assumptions, and compare them with the known results.
Remark on nefness in higher codimension
Xiaojun Wu
In this work, following the fundamental work of Boucksom we construct the nef cone of a compact complex manifold in higher codimension and give explicit examples where these cones…
Intersection theory and Chern classes in Bott-Chern cohomology
Xiaojun Wu
In this article, we investigate an axiomatic approach introduced by Grivaux for the study of rational Bott-Chern cohomology, and use it in that context to define Chern classes of c…
Pseudo-effective and numerically flat reflexive sheaves
Xiaojun Wu
In this note, we discuss the concept of pseudoeffective vector bundle and also introduce pseudoeffective torsion-free sheaves over compact Kähler manifolds. We show that a pseudoef…