Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach
type: Item
instance of: scholarly article
title: Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach
zbMATH Open document ID: 1093.14005
author: Nero Budur
author: Mircea Mustaţă
author: Morihiko Saito
published in: Mathematical Research Letters
publication date: 2006-03-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0505472
review text: The authors describe the roots of the Bernstein-Sato polynomial ideals of a monomial ideal.They prove the existence of the Bernstein-Sato polynomial for monomial ideals and study the invariants and there is given a polynomial formula for these invariants depending on a congruence mod \(p\). Note that all roots of the Bernstein-Sato polynomial of a monomial ideal are detected by this method. He also mention a geometric description of the images in \({\mathbb Q}/{\mathbb Z}\) of the roots of the Bernstein-Sato polynomials. The proofs are based on properties of the Newton polyhedron and techniques developed by the authors in two forthcoming papers (to appear in Commun. Algebra, respectively Compos. Math.). There are discussed several examples.
reviewed by: Doru Ştefănescu
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 13N10
Mathematics Subject Classification ID: 32S40
zbMATH DE Number: 5014798
zbMATH Keywords: Bernstein-Sato polynomial
MaRDI profile type: Publication
arXiv ID: math/0505472
OpenAlex ID: W2029479765
DOI: 10.4310/MRL.2006.V13.N1.A10
description: scientific article