dc.contributor
Centre de Recerca Matemàtica
dc.contributor.author
Pichereau, Anne
dc.date.accessioned
2009-01-07T19:14:52Z
dc.date.accessioned
2024-09-19T13:24:01Z
dc.date.available
2009-01-07T19:14:52Z
dc.date.available
2024-09-19T13:24:01Z
dc.identifier.uri
http://hdl.handle.net/2072/13069
dc.description.abstract
In this paper, we study formal deformations of Poisson structures, especially for three families of Poisson varieties in dimensions
two and three. For these families of Poisson structures, using an explicit basis of the second Poisson cohomology space, we solve the
deformation equations at each step and obtain a large family of formal deformations for each Poisson structure which we consider. With the help of an explicit formula, we show that this family contains, modulo equivalence, all possible formal eformations. We show moreover that, when the Poisson structure is generic, all members of the family are non-equivalent.
cat
dc.format.extent
305204 bytes
dc.format.mimetype
application/pdf
dc.publisher
Centre de Recerca Matemàtica
ca
dc.relation.ispartofseries
Prepublicacions del Centre de Recerca Matemàtica;814
dc.rights
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)
cat
dc.subject.other
Poisson, Varietats de
ca
dc.subject.other
Homologia, Teoria d'
ca
dc.title
Formal deformations of Poisson structures in low dimensions
ca
dc.type
info:eu-repo/semantics/preprint
ca
