论文标题
全态Koszul-Brylinski泊松爆炸的同源物
Holomorphic Koszul-Brylinski homologies of Poisson blow-ups
论文作者
论文摘要
我们得出了一个爆炸公式，用于紧凑型植物泊松歧管的全态koszul-brylinski同源性。 As applications, we investigate the invariance of the $E_{1}$-degeneracy of the Dolbeault-Koszul-Brylinski spectral sequence under Poisson blow-ups, and compute the holomorphic Koszul-Brylinski homology for del Pezzo surfaces and two complex nilmanifolds with holomorphic Poisson structures.
We derive a blow-up formula for holomorphic Koszul-Brylinski homologies of compact holomorphic Poisson manifolds. As applications, we investigate the invariance of the $E_{1}$-degeneracy of the Dolbeault-Koszul-Brylinski spectral sequence under Poisson blow-ups, and compute the holomorphic Koszul-Brylinski homology for del Pezzo surfaces and two complex nilmanifolds with holomorphic Poisson structures.
