Singularités lagrangiennes

Abstract : This thesis develops a deformation theory for lagrangian
singularities. We define four each lagrangian singularity
a complex of modules with a non-linear differential whose
first cohomology is isomorphic to the space of infinitesimal
deformations of the singularity. The second cohmology contains
informations on the obstruction theory. This complex is related
to the theory of differential modules. We show that
under a geometric condition, its cohomology forms constructible
sheaves. We describe a method using computer algebra to determine
this cohomology for quasi-homogeneous surfaces.
Document type :
Theses
Mathematics [math]. Ecole Polytechnique X, 2003. English


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Submitted on : Sunday, November 23, 2003 - 7:19:38 PM
Last modification on : Friday, March 27, 2015 - 4:02:23 PM

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Christian Sevenheck. Singularités lagrangiennes. Mathematics [math]. Ecole Polytechnique X, 2003. English. <tel-00003816>

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