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

• Autorzy: Zbigniew Jelonek
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

polynomial automorphisms; the set of fixed points of a polynomial automorphism; the affine plane

Kategorie tematyczne

• 14-01: Instructional exposition (textbooks, tutorial papers, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1994-1995
• Tom: 60
• Numer: 2
• Strony: 163-171

Daty

wydano

1994

otrzymano

1993-10-21

poprawiono

1994-02-10

Twórcy

autor

Zbigniew Jelonek

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

Bibliografia

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