3 papers
math.CV2026
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…
math.AG2026
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…
math.CV2026
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…