4 citations · 4 across the 3 of their papers we have counts for
6 papers
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…
On lattice polarizable cubic fourfolds
Song Yang, Xun Yu
We extend non-emtpyness and irreducibility of Hassett divisors to the moduli spaces of -polarizable cubic fourfolds for higher rank lattices , which in turn provides a system…
Some remarks on Fano threefolds of index two and stability conditions
Laura Pertusi, Song Yang
We prove that ideal sheaves of lines in a Fano threefold of Picard rank one and index two are stable objects in the Kuznetsov component , with respect to the st…
Rational cubic fourfolds in Hassett divisors
Song Yang, Xun Yu
We prove that every Hassett's Noether-Lefschetz divisor of special cubic fourfolds contains a union of three codimension-two subvarieties, parametrizing rational cubic fourfolds, i…
On the blow-up formula of twisted de Rham cohomology
Youming Chen, Song Yang
We derive a blow-up formula for the de Rham cohomology of a local system of complex vector spaces on a compact complex manifold. As an application, we obtain the blow-up invariance…
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…