Ja n 20 09 A ∂ - THEORETICAL PROOF OF HARTOGS ’ EXTENSION THEOREM ON ( n − 1 ) - COMPLETE COMPLEX SPACES
نویسنده
چکیده
Let X be a connected normal complex space of dimension n ≥ 2 which is (n − 1)-complete, and let π : M → X be a resolution of singularities. By use of Takegoshi’s generalization of the Grauert-Riemenschneider vanishing theorem, we deduce H cpt(M,O) = 0, which in turn implies Hartogs’ extension theorem on X by the ∂-technique of Ehrenpreis.
منابع مشابه
- THEORETICAL PROOF OF HARTOGS ’ EXTENSION THEOREM ON ( n − 1 ) - COMPLETE COMPLEX SPACES
Let X be a connected normal complex space of dimension n ≥ 2 which is (n − 1)-complete, and let π : M → X be a resolution of singularities. By use of Takegoshi’s generalization of the Grauert-Riemenschneider vanishing theorem, we deduce H cpt(M,O) = 0, which in turn implies Hartogs’ extension theorem on X by the ∂-technique of Ehrenpreis.
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تاریخ انتشار 2009