12 citations · 32 across the 14 of their papers we have counts for
6 papers · 1 filter
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…
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…
Hodge cohomology on blow-ups along subvarieties
Sheng Rao, Song Yang, Xiangdong Yang +1
We establish a blow-up formula for Hodge cohomology of locally free sheaves on smooth proper varieties over an algebraically closed field of positive characteristic. For this, we i…
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…
Bott-Chern blow-up formula and bimeromorphic invariance of the -Lemma for threefolds
Song Yang, Xiangdong Yang
The purpose of this paper is to study the bimeromorphic invariants of compact complex manifolds in terms of Bott-Chern cohomology. We prove a blow-up formula for Bott-Chern cohomol…
Dolbeault cohomologies of blowing up complex manifolds
Sheng Rao, Song Yang, Xiangdong Yang
We prove a blow-up formula for Dolbeault cohomologies of compact complex manifolds by introducing relative Dolbeault cohomology. As corollaries, we present a uniform proof for bime…