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Analytic cycles and generically finite holomorphic maps

Published online by Cambridge University Press:  17 April 2009

Yingchen Li
Yingchen Li
Affiliation:
Department of MathematicsUniversity of CaliforniaDavis CA 95616United States of America
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Abstract

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We study the behaviour of analytic cycles under generically finite holomorphic mappings between compact analytic spaces and prove that if two compact and normal complex analytic spaces have the same analytic homology groups, then any generically one to one holomorphic map between them must be a biholomorphic mapping. This generalises an old theorem of Ax and Borel.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 52 , Issue 3 , December 1995 , pp. 457 - 460
Copyright
Copyright © Australian Mathematical Society 1995

References

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