4 papers · 1 filter
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…