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Local Theory of Holomorphic Foliations and Vector Fields

2011/01/22 by Julio C. Rebelo, Rebelo, Julio C., Helena Reis +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #math.CA #math.DS

paper · pdf · doi:10.48550/arxiv.1101.4309

115 pages, 9 figures

arxiv created 2011/01/22 · openalex publication_date 2011/01/22 · arxiv updated 2015/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

These are slightly informal lecture notes intended for graduate students about the standard local theory of holomorphic foliations and vector fields. Though the material presented here is well-known some of the proofs differs slightly from the classical arguments.

Citations

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