65 citations · 67 across the 6 of their papers we have counts for
4 papers · 1 filter
Deformations of Poisson algebras
Michael Penkava, Anne Pichereau
We study -graded Poisson structures defined on -graded commutative polynomial algebras. In small dimensional cases, we exhibit classifications of such Poi…
-interpretation of a classification of deformations of Poisson structures in dimension three
Anne Pichereau
We give an -interpretation of the classification, obtained in [AP2], of the formal deformations of a family of exact Poisson structures in dimension three. We indeed obta…
Formal deformations of Poisson structures in low dimensions
Anne Pichereau
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 str…
Poisson (co)homology and isolated singularities
Anne Pichereau
To each polynomial $\v\in\F[x,y,z]$ is associated a Poisson structure on $\F^3$, a surface and a Poisson structure on this surface. When $\v$ is weight homogeneous with an isolated…