Hartogs’ Theorem on Separate Holomorphicity for Projective Spaces
نویسندگان
چکیده
منابع مشابه
Hartogs’ Theorem on Separate Holomorphicity for Projective Spaces
If a mapping of several complex variables into projective space is holomorphic in each pair of variables, then it is globally holomorphic.
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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: Canadian Mathematical Bulletin
سال: 2009
ISSN: 0008-4395,1496-4287
DOI: 10.4153/cmb-2009-010-8