A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas

Autor:	Andersson, Mats, Samuelsson, Håkan
Rok vydání:	2010
Předmět:	Mathematics - Complex Variables
Druh dokumentu:	Working Paper
Popis:	Let $X$ be a complex space of pure dimension. We introduce fine sheaves $\A^X_q$ of $(0,q)$-currents, which coincides with the sheaves of smooth forms on the regular part of $X$, so that the associated Dolbeault complex yields a resolution of the structure sheaf $\hol^X$. Our construction is based on intrinsic and quite explicit semi-global Koppelman formulas.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1010.6142 Zobrazit plný text záznamu View this record from Arxiv