22 citations · 40 across the 7 of their papers we have counts for
8 papers
Holomorphic polyvector fields on toric varieties via Klyachko filtrations
Wei Hong, Maosong Xiang
Motivated by the extended deformation theory of complex manifolds, we give a combinatorial description of holomorphic polyvector fields on a smooth compact toric variety via Klyach…
BV operators of the Gerstenhaber algebras of holomorphic polyvector fields on toric varieties
Yang Deng, Wei Hong
The vector space of holomorphic polyvector fields on any complex manifold has a natural Gerstenhaber algebra structure. In this paper, we study BV operators of the Gerstenhaber alg…
Holomorphic polyvector fields on toric varieties
Wei Hong
In this paper, we give an explicit description of holomorphic polyvector fields on smooth compact toric varieties, which generalizes Demazure's result of holomorphic vector fields…
Poisson Cohomology of holomorphic toric Poisson manifolds. II
Wei Hong
In this paper, we give a description of holomorphic multi-vector fields on smooth compact toric varieties, which generalizes Demazure's result of holomorphic vector fields on toric…
Atiyah classes of Lie bialgebras
Wei Hong
The Atiyah class was originally introduced by M.F. Atiyah. It has many developments in recent years. One important case is the Atiyah classes of Lie algebra pairs. In this paper, w…
Poisson Cohomology of holomorphic toric Poisson manifolds. I
Wei Hong
A holomorphic toric Poisson manifold is a nonsingular toric variety equipped with a holomorphic Poisson structure, which is invariant under the torus action. In this paper, we comp…
From Hypercomplex to Holomorphic Symplectic Structures
Wei Hong, Mathieu Stiénon
The notions of holomorphic symplectic structures and hypercomplex structures on Courant algebroids are introduced and then proved to be equivalent. These generalize hypercomplex tr…
Poisson Cohomology of Del Pezzo surfaces
Wei Hong, Ping Xu
In this note, we compute the Poisson cohomology groups for any Poisson Del Pezzo surface.