The (partial derivative)over-bar-equation on a non-reduced analytic space

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

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

Mathematics

Publication and Content Type

ref (subject category)

art (subject category)