3 papers
math.AG2024
Refined Chern characteristic classes of blow-ups
Xiaojun Wu, Song Yang, Xiangdong Yang
We prove a blow-up formula for refined Chern characteristic classes of compact complex manifolds. To this end, we establish a version of Riemann--Roch without denominators for the…
math.AG2022
Bott-Chern hypercohomology and bimeromorphic invariants
Song Yang, Xiangdong Yang
The aim of this article is to study the geometry of Bott-Chern hypercohomology from the bimeromorphic point of view. We construct some new bimeromorphic invariants involving the co…
math.AG2018
Dolbeault cohomologies of blowing up complex manifolds II: bundle-valued case
Sheng Rao, Song Yang, Xiangdong Yang
We use a sheaf-theoretic approach to obtain a blow-up formula for Dolbeault cohomology groups with values in the holomorphic vector bundle over a compact complex manifold. As appli…