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The Theorem of Identity for Coherent Analytic Modules

Published online by Cambridge University Press:  22 January 2016

Hirotaka Fujimoto
Hirotaka Fujimoto*
Affiliation:
Nagoya Institute of Technology
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The theorem of identity for analytic subsets of a reduced complex space is stated as follows;

Let V and V′ be two analytic subsets of a reduced complex space. If V is irreducible and there exists a point x ∊ V such that the germ Vx of V at x is included in V′x, then V is included in V′.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 29 , March 1967 , pp. 103 - 120
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1967

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