Vanishing cycles in complex symplectic geometry

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dc.creatorGaray, Mauricio
dc.date2005-11-22
dc.date2006-10-12
dc.date.accessioned2026-07-07T06:51:36Z
dc.date.available2026-07-07T06:51:36Z
dc.descriptionWe study the vanishing cycles on the Milnor fibre of a holomorphic map germ with special kind of non-isolated singularities which appear in symplectic geometry. We show, under assumptions given in the text, that the Lefschetz vanishing cycles freely generate the corresponding homology group of the Milnor fibre. We study two examples of applications: involutive systems in symplectic geometry (as characteristic varieties of $\hbar$-differential equations are of this type) and ajoint orbits in Lie algebras.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0511555
dc.identifierhttp://arxiv.org/abs/math/0511555
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105040
dc.subjectAlgebraic Geometry
dc.subject32S50
dc.titleVanishing cycles in complex symplectic geometry
dc.typetext

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