3 papers
math.DG2023
Contact resolutions of singular Jacobi structures
Hichem Lassoued, Camille Laurent-Gengoux
We study contact resolutions of Jacobi structures which are contact on an open subset. We give several classes of examples, as well as classes for which it cannot exist.
math.DG2021
Symplectic resolutions of the quotient of R^2 by a non-finite symplectic group
Hichem Lassoued, Camille Laurent-Gengoux
We construct smooth symplectic resolutions of the quotient of R^2 under some infinite discrete sub-group of GL_2(R) preserving a log-symplectic structure. This extends from algebra…
math.DG2017
Dimension preserving resolutions of singularities of Poisson structures
Hichem Lassoued
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.