Affine Surfaces With a Huge Group of Automorphisms
| Affiliation auteurs | Affiliation ok |
| Titre | Affine Surfaces With a Huge Group of Automorphisms |
| Type de publication | Journal Article |
| Year of Publication | 2015 |
| Auteurs | Blanc J, Dubouloz A |
| Journal | INTERNATIONAL MATHEMATICS RESEARCH NOTICES |
| Volume | 2015 |
| Pagination | 422-459 |
| Type of Article | Article |
| ISSN | 1073-7928 |
| Résumé | We describe a family of rational affine surfaces S with huge groups of automorphisms in the following sense: the normal subgroup Aut(S)(alg) of Aut(S) generated by all algebraic subgroups of Aut(S) is not generated by any countable family of such subgroups, and the quotient Aut(S)/Aut(S)(alg) cointains a free group over an uncountable set of generators. |
| DOI | 10.1093/imrn/rnt202 |