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Jets of singular foliations

2006/11/17 by Eduardo Esteves, Esteves, Eduardo
Mathematics · Physics and Astronomy · #13N15 #14F10 #37F75 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG #math.CV #msc:13N15 #msc:14F10 #msc:37F75

paper · pdf · doi:10.48550/arxiv.math/0611528

arxiv created 2006/11/17 · openalex publication_date 2006/11/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a singular foliation satisfying locally everywhere the Frobenius condition, even at the singularities, we show how to construct its global sheaves of jets. Our construction is purely formal, and thus applicable in a variety of contexts.

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