4 papers
Nef but Non-Semi-positive Line Bundles on Hopf Manifolds
Xiaojun Wu
We give a complete characterization of the nef, effective, pseudo-effective, and semi-positive cones on Hopf manifolds. In particular, by computing the Ueda classes on non-diagonal…
Generalized Ueda Obstruction Classes and Applications to Non-semi-positivity of Line Bundles
Xiaojun Wu
We introduce a generalized first Ueda obstruction class for a line bundle along a closed analytic subvariety of a complex manifold, allowing singular subvarieties and restrictions…
Duality between Bott-Chern and Aeppli Cohomology on Non-Compact Complex Manifolds
Xiaojun Wu
In this paper we establish duality theorems relating Bott-Chern and Aeppli cohomology, both with and without compact support, on non-compact complex manifolds under suitable pseudo…
Generalised Lelong-Poincaré formula in complex Bott-Chern cohomology
Xiaojun Wu
In this note, we present a topological proof of the generalized Lelong-Poincaré formula. More precisely, when the zero locus of a section has a pure codimension equal to the rank o…