Cross theorems with singularities

Abstract

We establish extension theorems for separately holomorphic mappings defined on sets of the form W\setminus M with values in a complex analytic space which possesses the Hartogs extension property. Here W is a 2-fold cross of arbitrary complex manifolds and M is a set of singularities which is locally pluripolar (resp. thin) in fibers.

30 pages. A previous version is available at the ICTP preprints website (ref. IC2007073)

References in corpus (1)

• Generalization of a theorem of Gonchar