From Lie groupoids to resolutions of singularities. Applications to symplectic and Poisson resolutions

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dc.creatorLaurent-Gengoux, Camille
dc.date2006-10-09
dc.date2007-11-20
dc.date.accessioned2026-07-07T08:43:50Z
dc.date.available2026-07-07T08:43:50Z
dc.descriptionWe 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.
dc.descriptionPaper rewritten. Examples added, some proofs simplified, and a converse theorem added
dc.identifierhttps://arxiv.org/abs/math/0610288
dc.identifierhttp://arxiv.org/abs/math/0610288
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142453
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject53D99,53D20,22A22
dc.titleFrom Lie groupoids to resolutions of singularities. Applications to symplectic and Poisson resolutions
dc.typetext

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