A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas

作者:Andersson Mats*; Samuelsson Hakan
来源:Inventiones Mathematicae, 2012, 190(2): 261-297.
DOI:10.1007/s00222-012-0380-9

摘要

Let X be a complex space of pure dimension. We introduce fine sheaves 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 . Our construction is based on intrinsic and quite explicit semi-global Koppelman formulas.

  • 出版日期2012-11