From Lie groupoids to resolutions of singularities. Applications to symplectic and Poisson resolutions
Differential Geometry
2007-11-20 v2 Symplectic Geometry
Abstract
We use the techniques of integration of Poisson manifolds into symplectic Lie groupoids to build symplectic resolutions (= desingularizations) of the closure of a symplectic leaf. More generally, we show how Lie groupoids can be used to lift singularities, in particular when one imposes a compatibility condition with an additional structure given by a multi-vector field.
Keywords
Cite
@article{arxiv.math/0610288,
title = {From Lie groupoids to resolutions of singularities. Applications to symplectic and Poisson resolutions},
author = {Camille Laurent-Gengoux},
journal= {arXiv preprint arXiv:math/0610288},
year = {2007}
}
Comments
Paper rewritten. Examples added, some proofs simplified, and a converse theorem added