Cross theorems with singularities

2009/01/20 by Viet-Anh Nguyen, Nguyen, Viet-Anh, Peter Pflug +1
Mathematics · #32D10 #32D15 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32D10 #msc:32D15

paper · pdf · doi:10.48550/arxiv.0901.3030

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

arxiv created 2009/01/20 · arxiv updated 2009/12/01

Abstract

We establish extension theorems for separately holomorphic mappings defined on sets of the form W∖ 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.

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