A rigidity theorem for Lagrangian deformations

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We 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.
17 pages

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Algebraic Geometry, Symplectic Geometry, 70H06;32S65

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http://salesiana.dossiersoluciones.com/handle/123456789/67596

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305394
 http://arxiv.org/abs/math/0305394

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arXiv