Skip to Main content Skip to Navigation
Journal articles

Elements generating a proper normal subgroup of the Cremona group

Serge Cantat 1 Vincent Guirardel 1 Anne Lonjou 2
1 IRMAR - Institut de Recherche Mathématique de Rennes
2 Unibas - University of Basel
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.
Document type :
Journal articles
Complete list of metadatas
https://hal-insu.archives-ouvertes.fr/insu-02183141
Contributor : Vincent Guirardel <>
Submitted on : Monday, July 15, 2019 - 10:11:34 AM
Last modification on : Friday, January 8, 2021 - 3:40:56 AM

Links full text

arxiv

Identifiers

  • HAL Id : insu-02183141, version 1
  • ARXIV : 1907.03450

Collections

INSU | IRMAR | INSMI | UNAM | UNIV-RENNES1 | CNRS | CHL | UNIV-RENNES2 | UR2-HB | UNIV-RENNES | INSA-GROUPE | IRMAR-TE | INSA-RENNES

Citation

Serge Cantat, Vincent Guirardel, Anne Lonjou. Elements generating a proper normal subgroup of the Cremona group. International Mathematical Research Notices, Oxford University Press, 2020. ⟨insu-02183141⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

33