An Algorithm Computing the Local b Function by an Approximate Division Algorithm in D

2006/06/19 by Hiromasa Nakayama, Nakayama, Hiromasa · 1 citation
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.math/0606437

openalex publication_date 2006/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an algorithm to compute the local b function. In this algorithm, we use the Mora division algorithm in the ring of differential operators and an approximate division algorithm in the ring of differential operators with power series coefficient.

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