Cross theorems with singularities
Complex Variables
2009-01-21 v1
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.
Cite
@article{arxiv.0901.3030,
title = {Cross theorems with singularities},
author = {Viet-Anh Nguyen and Peter Pflug},
journal= {arXiv preprint arXiv:0901.3030},
year = {2009}
}
Comments
30 pages. A previous version is available at the ICTP preprints website (ref. IC2007073)