On finite subgroups of the Cremona group
type: Item
instance of: scholarly article
title: On finite subgroups of the Cremona group
zbMATH Open document ID: 1114.14008
author: V. A. Iskovskikh
published in: Vietnam Journal of Mathematics
publication date: 2007-03-20T00:00:00Z
review text: The Cremona group \(\text{ Bir}(\mathbb{P}^2)\) is the group of birational transformations of the complex plane. The study of this group, and especially its finite subgroups, attracted mathematicians for more than a century. The present article presents a survey of the recent results, with also some sketches of proof. A bibliography of 33 titles is given. Note that new results are now known, especially a classification of finite subgroups given by I. Dolgachev and the author [\url{arXiv:math/0610595}], and another one on finite abelian subgroups, given by the reviewer [C. R. Math., Acad. Sci. Paris 344, No.~1, 21--26 (2007; Zbl 1111.14003)].
reviewed by: Jérémy Blanc
Mathematics Subject Classification ID: 14E07
Mathematics Subject Classification ID: 14J26
Mathematics Subject Classification ID: 14J50
zbMATH DE Number: 5135236
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5135236