English

The Cremona group is compactly presentable

Algebraic Geometry 2016-04-28 v2

Abstract

This article shows that the Cremona group is compactly presentable. To prove this we show that it is a generalised amalgamated product of three of its algebraic subgroups (automorphisms of the plane and Hirzebruch surfaces) divided by one relation.

Keywords

Cite

@article{arxiv.1408.4352,
  title  = {The Cremona group is compactly presentable},
  author = {Susana Zimmermann},
  journal= {arXiv preprint arXiv:1408.4352},
  year   = {2016}
}
R2 v1 2026-06-22T05:33:30.941Z