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

Annales Polonici Mathematici (1994)

- Volume: 60, Issue: 2, page 163-171
- ISSN: 0066-2216

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topZbigniew Jelonek. "The automorphism groups of Zariski open affine subsets of the affine plane." Annales Polonici Mathematici 60.2 (1994): 163-171. <http://eudml.org/doc/262297>.

@article{ZbigniewJelonek1994,

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.},

author = {Zbigniew Jelonek},

journal = {Annales Polonici Mathematici},

keywords = {polynomial automorphisms; the set of fixed points of a polynomial automorphism; the affine plane; affine plane; polynomial automorphism; fixed points},

language = {eng},

number = {2},

pages = {163-171},

title = {The automorphism groups of Zariski open affine subsets of the affine plane},

url = {http://eudml.org/doc/262297},

volume = {60},

year = {1994},

}

TY - JOUR

AU - Zbigniew Jelonek

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

JO - Annales Polonici Mathematici

PY - 1994

VL - 60

IS - 2

SP - 163

EP - 171

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/262297

ER -

## References

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