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.


Mats Andersson

Göteborgs universitet

Chalmers, Matematiska vetenskaper

Richard Lärkäng

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Algebra och geometri




Grundläggande vetenskaper