2016International Mathematics Research NoticesOpen access

Schlesinger Foliation for Deformations of Foliations

Yohann Genzmer

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Abstract

In this article, we show that for any deformation of analytic foliations, there exists a maximal analytic singular foliation on the space of parameters along the leaves of which the deformation is integrable.

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In this article, we show that for any deformation of analytic foliations, there exists a maximal analytic singular foliation on the space of parameters along the leaves of which the deformation is integrable.

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Available abstract

In this article, we show that for any deformation of analytic foliations, there exists a maximal analytic singular foliation on the space of parameters along the leaves of which the deformation is integrable.

Key concepts: Foliation (geology), Integrable system, Deformation (meteorology), Space (punctuation), Mathematics, Geometry, Pure mathematics, Mathematical analysis

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