The automorphism groups of Zariski open affine subsets of the affine plane
Annales Polonici Mathematici, Tome 60 (1994) no. 2, pp. 163-171
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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:
polynomial automorphisms, the set of fixed points of a polynomial automorphism, the affine plane
Affiliations des auteurs :
Zbigniew Jelonek 1
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author = {Zbigniew Jelonek},
title = {The automorphism groups of {Zariski} open affine subsets of the affine plane},
journal = {Annales Polonici Mathematici},
pages = {163--171},
year = {1994},
volume = {60},
number = {2},
doi = {10.4064/ap-60-2-163-171},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-60-2-163-171/}
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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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