Advanced Studies in Pure Mathematics

Finite subgroups of the plane Cremona group

Igor V. Dolgachev

Full-text: Open access

Abstract

We survey some old and new results about finite subgroups of the Cremona group $\mathrm{Cr}_2 (k)$ of birational automorphisms of the projective plane over a field $k$.

Article information

Source
Algebraic Geometry in East Asia — Seoul 2008, J. H. Keum, S. Kondō, K. Konno and K. Oguiso, eds. (Tokyo: Mathematical Society of Japan, 2010), 1-49

Dates
Received: 27 August 2009
Revised: 23 March 2010
First available in Project Euclid: 24 November 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1543085636

Digital Object Identifier
doi:10.2969/aspm/06010001

Mathematical Reviews number (MathSciNet)
MR2732091

Zentralblatt MATH identifier
1264.14017

Subjects
Primary: 14E07: Birational automorphisms, Cremona group and generalizations

Citation

Dolgachev, Igor V. Finite subgroups of the plane Cremona group. Algebraic Geometry in East Asia — Seoul 2008, 1--49, Mathematical Society of Japan, Tokyo, Japan, 2010. doi:10.2969/aspm/06010001. https://projecteuclid.org/euclid.aspm/1543085636


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