A d-bar-theoretical proof of Hartogs' extension theorem on (n-1)-complete spaces
Complex Variables
2009-01-16 v2
Abstract
Let X be a connected normal complex space of dimension n>=2 which is (n-1)-complete, and let p: M -> X be a resolution of singularities. By use of Takegoshi's generalization of the Grauert-Riemenschneider vanishing theorem, we deduce H^1_{cpt}(M,O)=0, which in turn implies Hartogs' extension theorem on X by the d-bar-technique of Ehrenpreis.
Keywords
Cite
@article{arxiv.0811.1963,
title = {A d-bar-theoretical proof of Hartogs' extension theorem on (n-1)-complete spaces},
author = {Jean Ruppenthal},
journal= {arXiv preprint arXiv:0811.1963},
year = {2009}
}
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9 pages