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The Theorem of Identity for Coherent Analytic Modules

Published online by Cambridge University Press:  22 January 2016

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′.

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1967