On Hartogs-Osgood's theorem for Stein spaces
نویسندگان
چکیده
منابع مشابه
A ∂-theoretical Proof of Hartogs’ Extension Theorem on Stein Spaces with Isolated Singularities
Let X be a connected normal Stein space of pure dimension d ≥ 2 with isolated singularities only. By solving a weighted ∂-equation with compact support on a desingularization of X , we derive Hartogs’ Extension Theorem on X by the ∂-idea due to Ehrenpreis.
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The Trichotomy Principle says that a pair of sets A and B either admits a bijection or else precisely one of these sets injects into the other. Hartogs established logical equivalence between the Trichotomy Principle and the Well-Ordering Principle. As ZF suffices to prove the Schröder-Bernstein theorem, the heart of Trichotomy lies in the existence of some injection connecting A and B (in eith...
متن کامل- 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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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1965
ISSN: 0025-5645
DOI: 10.2969/jmsj/01730297