Sur l'intégration symplectique de la structure de Poisson singulière \(\bigwedge =(x^ 2+y^ 2)\frac{\partial}{\partial x}\wedge \frac{\partial}{\partial y}\) de \({\mathbb{R}}^ 2\). (On symplectic integration of the singular Poisson structure \(\bigwedge =(x^ 2+y^ 2)\frac{\partial}{\partial x}\wedge \frac{\partial}{\partial y}\) in \({\mathbb{R}}^ 2)\)
The singular Poisson structure given in the title is shown to admit a symplectic realization by a Lie groupoid in the sense of \textit{A. Coste}, the second author, and \textit{A. Weinstein} [Publ. Dep. Math., Nouv. Ser., Univ. Claude Bernard, Lyon 2/A, 1-62 (1987; Zbl 0668.58017)].
scientific article; zbMATH DE number 4155493