Dimension preserving resolutions of singularities of Poisson structures

Hichem Lassoued (1, 2)

1 UBMA - Université Badji Mokhtar [Annaba]
2 IECL - Institut Élie Cartan de Lorraine

Some Poisson structures do admit resolutions by symplectic manifolds of the same dimension. We give examples and simple conditions under which such resolutions can not exist.

Domaines: Géométrie différentielle [math.DG]

Hichem Lassoued. Dimension preserving resolutions of singularities of Poisson structures. 2017. ⟨hal-01487059v1⟩