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The dbar-equation on a non-reduced analytic space

Authors Mats Andersson
Richard Lärkäng
Published in [Preprint]
Publication year 2017
Published at Department of Mathematical Sciences
Language en
Subject categories Mathematics


Let X be a, possibly non-reduced, analytic space of pure dimension. We introduce a notion of dbar-equation on X and prove a Dolbeault-Grothendieck lemma. We obtain fine sheaves A_q^X of (0,q)-currents, so that the associated Dolbeault complex yields a resolution of the structure sheaf O_X. Our construction is based on intrinsic semi-global Koppelman formulas on X.

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