Quelques propri\'et\'es des transformations birationnelles du plan projectif complexe
Algebraic Geometry
2009-09-22 v4
Abstract
We present some (unfortunately not all) known properties on the Cremona group; when it's possible we mentioned links with the most known group of polynomial automorphisms of the affine plane. The mentioned properties are essentially algebraic properties: generators, relations, finite subgroups, subgroups of finite type, automorphisms of the Cremona group, Tits alternative... but also dynamical properties: classification of birational maps, centralizer, dynamic of an Heisenberg subgroup... We deal with the construction of entropic automorphisms on rational surfaces.
Cite
@article{arxiv.0904.1395,
title = {Quelques propri\'et\'es des transformations birationnelles du plan projectif complexe},
author = {Julie Déserti},
journal= {arXiv preprint arXiv:0904.1395},
year = {2009}
}
Comments
One section and some references added. 44 pages, in french