descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint 01 Jan 2021Embargo end date: 01 Jan 2021 English Publisher:Springer International PublishingFunded by:NSF | CAREER: Differential Oper...

Authors: Álvarez Montaner, Josep; Jeffries, Jack; Núñez-Betancourt, Luis;

doi: 10.1007/978-3-030-89694-2_1 , 10.48550/arxiv.2106.08830

arXiv: 2106.08830

handle: 2117/367069

Bernstein-Sato Polynomials in Commutative Algebra

- Summary
- Subjects
- Related research
  (3)
- Metrics

Abstract

This is an expository survey on the theory of Bernstein-Sato polynomials with special emphasis in its recent developments and its importance in commutative algebra.

64 pages. Minor changes

Related Organizations

University of Nebraska-Lincoln
United States
Universitat Politècnica de Catalunya
Spain
Universitat Polite`cnica de Catalunya
Spain

Keywords

Multiplier ideals, Bernstein–Sato polynomial, Commutative Algebra (math.AC), 510, Àlgebra commutativa, Mathematics - Algebraic Geometry, Bernsteinâ€“Sato polynomial, FOS: Mathematics, :13 Commutative rings and algebras::13A General commutative ring theory [Classificació AMS], Classificació AMS::13 Commutative rings and algebras::13N Differential algebra, Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theory, D-module, Algebraic Geometry (math.AG), Àrees temàtiques de la UPC::Matemàtiques i estadística, Applied Mathematics, :Matemàtiques i estadística [Àrees temàtiques de la UPC], multiplier ideals, Mathematics - Commutative Algebra, :13 Commutative rings and algebras::13N Differential algebra [Classificació AMS], 004, Commutative algebra, Singularities, singularities, Mathematics

3 Research products, page 1 of 1

D-modules, Bernstein–Sato polynomials and F-invariants of direct summands
2017IsAmongTopNSimilarDocuments
Bernstein-Sato functional equations, V-filtrations, and multiplier ideals of direct summands
2019IsAmongTopNSimilarDocuments
Bernstein–Sato functional equations, V-filtrations, and multiplier ideals of direct summands
2021IsAmongTopNSimilarDocuments

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average