Complete vector fields on (C-0)ⁿ

1998/08/19 by Erik Andersen, Erik Andersén, Andersen, Erik
Mathematics · Physics and Astronomy · #30D35 (Secondary) #32M05 (Primary) 34A20 #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.CV #msc:30D35 #msc:32M05 #msc:34A20

paper · pdf · doi:10.48550/arxiv.math/9808090

arxiv created 1998/08/19 · openalex publication_date 1998/08/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove necessary and sufficient conditions for completeness of a rational vector field on Cⁿ minus n hyperplanes in general position (n>1).

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