DEFORMATIONS OF SEMISIMPLE POISSON PENCILS OF HYDRODYNAMIC TYPE ARE UNOBSTRUCTED
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | DEFORMATIONS OF SEMISIMPLE POISSON PENCILS OF HYDRODYNAMIC TYPE ARE UNOBSTRUCTED |
| Type de publication | Journal Article |
| Year of Publication | 2018 |
| Auteurs | Carlet G, Posthuma H, Shadrin S |
| Journal | JOURNAL OF DIFFERENTIAL GEOMETRY |
| Volume | 108 |
| Pagination | 63-89 |
| Type of Article | Article |
| ISSN | 0022-040X |
| Résumé | We prove that the bihamiltonian cohomology of a semisimple pencil of Poisson brackets of hydrodynamic type vanishes for almost all degrees. This implies the existence of a full dispersive deformation of a semisimple bihamiltonian structure of hydrodynamic type starting from any infinitesimal deformation. |