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Analytic cycles and generically finite holomorphic maps
Published online by Cambridge University Press: 17 April 2009
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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