On finite subgroups of the Cremona group
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)].
scientific article; zbMATH DE number 5135236
scientific article