Quelques propriétés des transformations birationnelles du plan projectif complexe Export

@article{citeulike:4295086, abstract = {Une histoire pour S. 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... Note that we don't deal with the dynamical study of the iterates of a birational map and also with the construction of entropic automorphisms on rational surfaces.}, archivePrefix = {arXiv}, author = {D\&\#xe9;serti, Julie}, citeulike-article-id = {4295086}, citeulike-linkout-0 = {http://arxiv.org/abs/0904.1395}, citeulike-linkout-1 = {http://arxiv.org/pdf/0904.1395}, day = {8}, eprint = {0904.1395}, keywords = {algebraic\_geometry, dynamical\_systems, fewnomials}, month = {Apr}, posted-at = {2009-04-09 17:03:45}, priority = {3}, title = {Quelques propri\'et\'es des transformations birationnelles du plan projectif complexe}, url = {http://arxiv.org/abs/0904.1395}, year = {2009} }

TY - JOUR ID - citeulike:4295086 L3 - citeulike-article-id:4295086 N2 - Une histoire pour S. 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... Note that we don't deal with the dynamical study of the iterates of a birational map and also with the construction of entropic automorphisms on rational surfaces. TI - Quelques propri\'et\'es des transformations birationnelles du plan projectif complexe KW - algebraic_geometry KW - dynamical_systems KW - fewnomials AU - Déserti, Julie PY - 2009/Apr/08/ UR - http://arxiv.org/abs/0904.1395 ER -