Bernstein-Sato Polynomials in Commutative Algebra (Q5051874)

scientific article; zbMATH DE number 7620533

Language	Label	Description	Also known as
English	Bernstein-Sato Polynomials in Commutative Algebra	scientific article; zbMATH DE number 7620533

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instance of

scholarly article

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title

Bernstein-Sato Polynomials in Commutative Algebra (English)

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author

Josep Àlvarez Montaner

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Jack Jeffries

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Luis Núñez-Betancourt

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published in

Commutative Algebra

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publication date

18 November 2022

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full work available at URL

https://arxiv.org/abs/2106.08830

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zbMATH Keywords

Bernstein-Sato polynomial

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$D$-module

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singularities

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multiplier ideals

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describes a project that uses

Macaulay2

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MaRDI profile type

MaRDI publication profile

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cites work

$D$-modules, Bernstein-Sato polynomials and $F$-invariants of direct summands

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Bernstein–Sato functional equations, V-filtrations, and multiplier ideals of direct summands

0 references

Principal intersection and bernstein-sato polynomial of an affine variety

0 references

Yano's conjecture for two-Puiseux-pair irreducible plane curve singularities

0 references

Resolution of Singularities and Division of Distributions

0 references

Algorithm for computing Bernstein-Sato ideals associated with a polynomial mapping.

0 references

Local Bernstein-Sato ideals: algorithm and examples

0 references

Combinatorially determined zeroes of Bernstein--Sato ideals for tame and free arrangements

0 references

Modules over a ring of differential operators. Study of the fundamental solutions of equations with constant coefficients

0 references

The analytic continuation of generalized functions with respect to a parameter

0 references

Q5667278

0 references

Algorithms for Bernstein--Sato polynomials and multiplier ideals

0 references

On a theory of the $b$-function in positive characteristic

0 references

Q3964695

0 references

Poles of the complex zeta function of a plane curve

0 references

Yano's conjecture

0 references

Test ideals via algebras of 𝑝^{-𝑒}-linear maps

0 references

Cartier modules: Finiteness results

0 references

Discreteness and rationality of $F$-thresholds

0 references

$F$-thresholds of hypersurfaces

0 references

BERNSTEIN–SATO POLYNOMIALS AND TEST MODULES IN POSITIVE CHARACTERISTIC

0 references

Quantifying singularities with differential operators

0 references

Algorithme de calcul du polynome de Bernstein. Cas non dégéneré. (Algorithm of computation of Bernstein polynomials. The non-degenerate case)

0 references

Q4865922

0 references

Magic matrix associated with a germ of plane curve and division by the Jacobian ideal

0 references

Generalized functional equations: transversality and principality of the Bernstein-Sato ideal

0 references

Q3375882

0 references

Bernstein-Sato ideals and local systems

0 references

Cohomology support loci of local systems

0 references

Combinatorial Description of the Roots of the Bernstein–Sato Polynomials for Monomial Ideals

0 references

Bernstein–Sato polynomials of arbitrary varieties

0 references

Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach

0 references

Multiplier ideals, 𝑉-filtration, and spectrum

0 references

Zero loci of Bernstein-Sato ideals

0 references

Local systems on analytic germ complements

0 references

Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and Pfaffians

0 references

Q4499086

0 references

Racines de polynômes de Bernstein. (Zeros of Bernstein polynomials)

0 references

Q3762604

0 references

Polynôme de Bernstein générique. (Generic Bernstein polynomials)

0 references

Q4850051

0 references

Singularities on normal varieties

0 references

Caracteristiques D'Euler-Poincare, Fonctions Zeta Locales et Modifications Analytiques

0 references

Upper bounds for roots of $b$-functions, following Kashiwara and Lichtin

0 references

On the existence of 𝐹-thresholds and related limits

0 references

Jumping coefficients of multiplier ideals

0 references

Computations in algebraic geometry with Macaulay 2

0 references

Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)

0 references

0 references

0 references

0 references

0 references

Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné

0 references

Bernstein-Sato's polynomial for several analytic functions

0 references

A generalization of tight closure and multiplier ideals

0 references

Bernstein polynomial and Tjurina number

0 references

A remark on bigness of the tangent bundle of a smooth projective variety and D-simplicity of its section rings

0 references

Bernstein -- Sato polynomials on normal toric varieties

0 references

Tight closure and strong F-regularity

0 references

Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem

0 references

F-Regularity, Test Elements, and Smooth Base Change

0 references

Q4318628

0 references

Q4948576

0 references

Q4154837

0 references

Pseudo-differential operators in the theory of hyperfunctions

0 references

B-functions and holonomic systems. Rationality of roots of B-functions

0 references

Q3681128

0 references

Q3961124

0 references

Q4740814

0 references

Subellipticity of the $\overline\partial$-Neumann problem on pseudo- convex domains: sufficient conditions

0 references

Singularities of Pairs

0 references

Q4650504

0 references

Algorithms for checking rational roots of $b$-functions and their applications

0 references

Invariant differential operators on the tangent space of some symmetric spaces

0 references

Poles of $| f(z,w)| ^{2s}$ and roots of the b-function

0 references

Some local consequences of Hodge theory

0 references

Fonctions D'Igusa p-adiques et Polynomes de Berstein

0 references

Decompositions of Bernstein-Sato polynomials and slices

0 references

Bernstein-Sato polynomials for maximal minors and sub-maximal Pfaffians

0 references

Finiteness properties of local cohomology modules (an application of $D$- modules to commutative algebra)

0 references

Finiteness properties of local cohomology modules for regular local rings of mixed characteristic: the unramified case

0 references

Bigness of the tangent bundle of del Pezzo surfaces and $D$-simplicity

0 references

Intégrales asymptotiques et monodromie

0 references

0 references

0 references

0 references

0 references

Polynômes de Bernstein-Sato associés à une intersection complète quasi-homogène à singularité isolée

0 references

Q3786586

0 references

Q3992569

0 references

La théorie du polynôme de Bernstein-Sato pour les algèbres de Tate et de Dwork-Monsky-Washnitzer

0 references

Rings of Differential Operators on Invariant Rings of Tori

0 references

Bernstein-Sato polynomials in positive characteristic

0 references

Bernstein-Sato polynomials for general ideals vs. principal ideals

0 references

Q5694889

0 references

Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature

0 references

High order derivations. I

0 references

An introduction to $p$-adic and motivic zeta functions and the monodromy conjecture

0 references

On certain rings of differentiable type and finiteness properties of local cohomology

0 references

An algorithm of computing $b$-functions

0 references

Algorithms for $b$-functions, restrictions, and algebraic local cohomology groups of $D$-modules

0 references

Algorithms for the $b$-function and $D$-modules associated with a polynomial

0 references

Localization, local cohomology, and the b-function of a D-module with respect to a polynomial

0 references

On the ring of differential operators of certain regular domains

0 references

BERNSTEIN–SATO ROOTS FOR MONOMIAL IDEALS IN POSITIVE CHARACTERISTIC

0 references

Bernstein-Sato theory for arbitrary ideals in positive characteristic

0 references

On the<i>b</i>-Functions of Hypergeometric Systems

0 references

An introduction to homological algebra

0 references

Q3760849

0 references

Q3769182

0 references

Mixed Hodge modules

0 references

On the structure of Brieskorn lattice

0 references

On microlocal $b$-function

0 references

On b-function, spectrum and multiplier ideals

0 references

$D$-modules generated by rational powers of holomorphic functions

0 references

Bernstein-Sato polynomials of hyperplane arrangements

0 references

Theory of prehomogeneous vector spaces (algebraic part)—the English translation of Sato’s lecture from Shintani’s note

0 references

Micro-local analysis of prehomogeneous vector spaces

0 references

Lifting differential operators from orbit spaces

0 references

Test ideals in non-$\mathbb{Q}$-Gorenstein rings

0 references

Q4550716

0 references

An example of a ring Morita equivalent to the Weyl algebra $A_ 1$.

0 references

The global homological dimension of the ring of differential operators on a nonsingular variety over a field of positive characteristic

0 references

Differential Operators on an Affine Curve

0 references

The $D$-module structure of $F$-split rings

0 references

The $V$-filtration for tame unit $F$-crystals

0 references

Polynômes de Bernstein associés à une fonction sur une intersection complète à singularité isolée. (Bernstein polynomials associated with a function on an isolated complete intersection singularity)

0 references

Bernstein polynomials of a smooth function restricted to an isolated hypersurface singularity

0 references

Differential operators on monomial rings

0 references

Differential operators on Stanley-Reisner rings

0 references

On the computation of Bernstein-Sato ideals.

0 references

Q3872744

0 references

Q3933097

0 references

Q4829658

0 references

Bernstein–Sato polynomial versus cohomology of the Milnor fiber for generic hyperplane arrangements

0 references

Survey on the $D$-module $f^s$

0 references

The Jacobian module, the Milnor fiber, and the $D$-module generated by $f^s$

0 references

On the theory of b-functions

0 references

Q3669561

0 references

Q4693739

0 references

Q3413424

0 references

Identifiers

zbMATH Open document ID

1498.14042

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DOI

10.1007/978-3-030-89694-2_1

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5051874