Meromorphic functions, bifurcation sets and fibred links

2005/07/15 by Arnaud Bodin, Bodin, Arnaud, Anne Pichon +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.math/0507313

openalex publication_date 2005/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a necessary condition for a meromorphic function in several variables to give rise to a Milnor fibration of the local link (respectively of the link at infinity). In the case of two variables we give some necessary and sufficient conditions for the local link (respectively the link at infinity) to be fibred.

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