A rigidity theorem for Lagrangian deformations

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dc.creatorGaray, Mauricio D.
dc.date2003-05-28
dc.date2003-11-21
dc.date.accessioned2026-07-07T04:58:20Z
dc.date.available2026-07-07T04:58:20Z
dc.descriptionWe consider deformations of singular Lagrangian varieties in symplectic spaces. We show the coherence of the direct image sheaves of relative infinitesimal Lagrangian deformations. Using this result, we prove that, under some assumptions, a Lagrangian deformation is analytically rigid provided that this is the case infinitesimally. This gives generalisations of recent results by Colin de Verdière concerning Lagrangian curves.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0305394
dc.identifierhttp://arxiv.org/abs/math/0305394
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67596
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject70H06;32S65
dc.titleA rigidity theorem for Lagrangian deformations
dc.typetext

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