The residue current of a codimension three complete intersection
Rapport, 2006

Let f1, f2, and f3 be holomorphic functions on a complex manifold and assume that the common zero set of the fj has maximal codimension, i.e., that it is a complete intersection. We prove that the iterated Mellin transform of the residue integral has an analytic continuation to a neighborhood of the origin in C3. We prove also that the natural regularization of the residue current converges unrestrictedly.

Författare

Håkan Samuelsson Kalm

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Ämneskategorier

Matematik

Matematisk analys