A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas
Complex Variables
2016-08-14 v2
Abstract
Let be a complex space of pure dimension. We introduce fine sheaves of -currents, which coincides with the sheaves of smooth forms on the regular part of , so that the associated Dolbeault complex yields a resolution of the structure sheaf . Our construction is based on intrinsic and quite explicit semi-global Koppelman formulas.
Cite
@article{arxiv.1010.6142,
title = {A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas},
author = {Mats Andersson and Håkan Samuelsson},
journal= {arXiv preprint arXiv:1010.6142},
year = {2016}
}