English

Elements generating a proper normal subgroup of the Cremona group

Group Theory 2020-05-13 v2 Algebraic Geometry

Abstract

Consider an algebraically closed field k and the Cremona group of all birational transformations of the projective plane over k. We characterize infinite order elements of this group having a non-zero power generating a proper normal subgroup of the Cremona group.

Keywords

Cite

@article{arxiv.1907.03450,
  title  = {Elements generating a proper normal subgroup of the Cremona group},
  author = {Serge Cantat and Vincent Guirardel and Anne Lonjou},
  journal= {arXiv preprint arXiv:1907.03450},
  year   = {2020}
}

Comments

To appear in International Mathematics Research Notices

R2 v1 2026-06-23T10:14:31.153Z