Geodesic
The automorphism groups of Zariski open affine subsets of the affine plane
Annales Polonici Mathematici, Tome 60 (1994) no. 2, pp. 163-171

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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.
DOI : 10.4064/ap-60-2-163-171
Keywords: polynomial automorphisms, the set of fixed points of a polynomial automorphism, the affine plane

Zbigniew Jelonek 1

1 
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Zbigniew Jelonek. The automorphism groups of Zariski open affine subsets of the affine plane. Annales Polonici Mathematici, Tome 60 (1994) no. 2, pp. 163-171. doi: 10.4064/ap-60-2-163-171

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