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On Meromorphic Mappings into Taut Complex Analytic Spaces

Published online by Cambridge University Press:  22 January 2016

Toshio Urata
Toshio Urata*
Affiliation:
Aichi University of Education
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In this paper, we study a certain difference between meromorphic mappings and holomorphic mappings into taut complex analytic spaces. We prove in §2 that, for any complex analytic space X, there exists a unique proper modification of X with center Sg (X) which is minimal with respect to the property that M(X) is normal and, for any T-meromorphic mapping f: X → Y (see Definition 1.3) into a complex analytic space Y, there exists a unique holomorphic mapping such that except some nowhere dense complex analytic set, where Sg(X) denotes the set of all singular points of X.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 50 , June 1973 , pp. 49 - 65
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1973

References

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