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ArticleOriginal scientific text

Title

Injective endomorphisms of algebraic and analytic sets

Authors 1, 1

Affiliations

  1. Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Abstract

We prove that every injective endomorphism of an affine algebraic variety over an algebraically closed field of characteristic zero is an automorphism. We also construct an analytic curve in ℂ⁶ and its holomorphic bijection which is not a biholomorphism.

Bibliography

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Annales Polonici Mathematici
1991-1992/56/1
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Pages:
29-35
Main language of publication
English
Received
1989-11-02
Accepted
1991-03-20
Published
1991
Exact and natural sciences