12 citations · 54 across the 16 of their papers we have counts for
16 papers
Automorphism groups of cubic fivefolds and fourfolds
Song Yang, Xun Yu, Zigang Zhu
In this paper, we introduce notions of partitionability and characteristic sets of homogeneous polynomials and give a complete classification of groups faithfully acting on smooth…
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…
Holomorphic Koszul-Brylinski homologies of Poisson blow-ups
Xiaojun Chen, Youming Chen, Song Yang +1
We derive a blow-up formula for holomorphic Koszul-Brylinski homologies of compact holomorphic Poisson manifolds. As applications, we investigate the invariance of the -dege…
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…
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…
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…
Classification of full exceptional collections of line bundles on three blow-ups of
Wanmin Liu, Song Yang, Xun Yu
A fullness conjecture of Kuznetsov says that if a smooth projective variety admits a full exceptional collection of line bundles of length , then any exceptional collection…
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…
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…
Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras
Xiaojun Chen, Youming Chen, Farkhod Eshmatov +1
We study the noncommutative Poincaré duality between the Poisson homology and cohomology of unimodular Poisson algebras, and show that Kontsevich's deformation quantization as well…
Locally conformal symplectic blow-ups
Song Yang, Xiangdong Yang, Guosong Zhao
In this paper, we study the blow-up of a locally conformal symplectic manifold.We show that there exists a locally conformal symplectic structure on the blow-up of a locally confor…
The derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras
Xiaojun Chen, Alimjon Eshmatov, Farkhod Eshmatov +1
Let be a Koszul (or more generally, -Koszul) Calabi-Yau algebra. Inspired by the works of Kontsevich, Ginzburg and Van den Bergh, we show that there is a derived non-commuta…
Batalin-Vilkovisky algebras and the noncommutative Poincare duality of Koszul Calabi-Yau algebras
Xiaojun Chen, Song Yang, Guodong Zhou
Let be a Koszul Calabi-Yau algebra. We show that there exists an isomorphism of Batalin-Vilkovisky algebras between the Hochschild cohomology ring of and that of its Koszul…