From Differential Values to Roots of the Bernstein-Sato Polynomial

2024/12/18 by David Senovilla-Sanz, Senovilla-Sanz, David · 1 citation
Mathematics · Engineering · #Iterative Methods for Nonlinear Equations #Advanced Numerical Analysis Techniques #Approximation Theory and Sequence Spaces

paper · pdf · doi:10.48550/arxiv.2412.13740

Abstract

Let C be a cusp in (\mathbb C²,\mathbf 0) with Puiseux pair (n,m). This paper is devoted to show how the semimodule of differential values of C determines a subset of the roots of the Bernstein-Sato polynomial of C. We add more precise results when the multiplicity of the cusp is n≤ 4.

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