A vanishing theorem for the canonical blow-ups of Grassmann manifolds

Autor:	Fang, Hanlong, Zhu, Songhao
Rok vydání:	2021
Předmět:	Mathematics - Algebraic Geometry Mathematics - Complex Variables
Druh dokumentu:	Working Paper
Popis:	Let $\mathcal T_{s,p,n}$ be the canonical blow-up of the Grassmann manifold $G(p,n)$ constructed by blowing up the Pl\"ucker coordinate subspaces associated with the parameter $s$. We prove that the higher cohomology groups of the tangent bundle of $\mathcal T_{s,p,n}$ vanish. As an application, $\mathcal T_{s,p,n}$ is locally rigid in the sense of Kodaira-Spencer. Comment: Comments are welcome. arXiv admin note: text overlap with arXiv:2007.06200
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.11069 Zobrazit plný text záznamu View this record from Arxiv