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

Volume 60 / 1994

Zbigniew Jelonek Annales Polonici Mathematici 60 (1994), 163-171 DOI: 10.4064/ap-60-2-163-171


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.


  • Zbigniew Jelonek

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