The dbar-equation on a non-reduced analytic space
Preprint, 2017

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 ne sheaves Aq X 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.

Författare

Mats Andersson

Göteborgs universitet

Chalmers, Matematiska vetenskaper

Richard Lärkäng

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Algebra och geometri

Ämneskategorier

Matematik

Fundament

Grundläggande vetenskaper

Mer information

Skapat

2017-10-07