On local stabilities of $p$-K\'ahler structures

Autor:	Rao, Sheng, Wan, Xueyuan, Zhao, Quanting
Rok vydání:	2018
Předmět:	Mathematics - Complex Variables Mathematics - Differential Geometry 32G05 (Primary) 13D10 14D15 53C55 (Secondary)
Zdroj:	Compositio Math. 155 (2019) 455-483
Druh dokumentu:	Working Paper
DOI:	10.1112/S0010437X19007085
Popis:	By use of a natural extension map and a power series method, we obtain a local stability theorem for p-K\"ahler structures with the $(p,p+1)$-th mild $\partial\bar\partial$-lemma under small differentiable deformations. Comment: Several typos have been fixed. Final version to appear in Compositio Mathematica. arXiv admin note: text overlap with arXiv:1609.05637
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1801.01031 Zobrazit plný text záznamu View this record from Arxiv