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Holomorphic automorphisms and cancellation theorems

Published online by Cambridge University Press:  22 January 2016

Toshio Urata
Toshio Urata*
Affiliation:
Department of Mathematics, Aichi University of Education, Kariya-shi, 448 Japan
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Let X be a complex analytic space of positive dimension and A a complex analytic subvariety of X. We call A a direct factor of X if there exist a complex analytic space B and a biholomorphic mapping f: A × B → X such that, for some b ∊ B, f(a, b) = a on A, and a complex analytic space X to be primary if X has no direct factor, not equal to X itself, of positive dimension.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 81 , March 1981 , pp. 91 - 103
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1981

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