Subgroups of Cremona Groups

  • Fabrizio Catanese

    Universität Bayreuth, Germany
  • Ivan Cheltsov

    Edinburgh University, UK
  • Julie Déserti

    Université Paris Diderot, France
  • Yuri Prokhorov

    Moscow State University, Russian Federation

Abstract

There have been recent breakthroughs in two related questions: the study of Cremona groups, and the problem of rationality of algebraic varieties. Our workshop brought together algebraic geometers, who discussed and tried to solve problems that are relevant to the classification of finite subgroups of Cremona groups. Priority was given to the following four related areas: automorphisms of algebraic varieties, birational geometry of Mori fibre spaces, and rationality problems.

Cite this article

Fabrizio Catanese, Ivan Cheltsov, Julie Déserti, Yuri Prokhorov, Subgroups of Cremona Groups. Oberwolfach Rep. 15 (2018), no. 2, pp. 1685–1743

DOI 10.4171/OWR/2018/28