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Title

The automorphism groups of Zariski open affine subsets of the affine plane

Authors 1

Affiliations

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

Abstract

We study some properties of the affine plane. First we describe the set of fixed points of a polynomial automorphism of ℂ². Next we classify completely so-called identity sets for polynomial automorphisms of ℂ². Finally, we show that a sufficiently general Zariski open affine subset of the affine plane has a finite group of automorphisms.

Keywords

ENG
polynomial automorphisms, the set of fixed points of a polynomial automorphism, the affine plane

Bibliography

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Annales Polonici Mathematici
1994-1995/60/2
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Pages:
163-171
Main language of publication
English
Received
1993-10-21
Accepted
1994-02-10
Published
1994
Exact and natural sciences