Discriminant method for the homological monodromy of tame polynomials

2006/02/14 by M. Escario, Escario, M.
Mathematics · #14D05 #20F36 #58K15 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #math.AG #msc:14D05 #msc:20F36 #msc:58K15

paper · pdf · doi:10.48550/arxiv.math/0602297

32 pages, 12 figures

arxiv created 2006/02/14 · openalex publication_date 2006/02/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct an effective algorithmic method to compute the homological monodromy of a complex polynomial which is tame. As an application we show the existence of conjugated polynomials in a number field which are not topologically equivalent

Citations

• On the monodromy of complex polynomials

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• There is no polynomial formula for the catenary and the tame degree of finitely generated monoids
• Geometric criteria for tame ramification
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