A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas

By M. Andersson, Håkan Samuelsson. 2010

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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.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9893f6b7cf6a675cad1da374a3bf5d1a9533344e