Residue Currents of Cauchy-fantappie-leray Type and Ideals of Holomorphic Functions
نویسنده
چکیده
We deene a residue current of a holomorphic mapping , or more generally a holomorphic section to a holomorphic vector bundle, by means of Cauchy-Fantappie-Leray type formulas , and prove that a holomorphic function that annihilates this current belongs to the corresponding ideal locally. We also prove that the residue current coincides with the Colee-Herrera current in the case of a complete intersection. The construction is of global nature and we also provide some geometric applications.
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