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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.AG2024
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…
math.AG2024
Bott-Chern characteristic classes of blow-ups
Xiaojun Wu, Song Yang, Xiangdong Yang
We prove a blow-up formula for Bott-Chern characteristic classes of compact complex manifolds. To this end, we establish a version of Riemann-Roch without denominators for the Bott…