Algorithms for computing multiplier ideals

DOI10.1016/j.jpaa.2011.04.002zbMath1233.14015arXiv0807.4302OpenAlexW2170292350MaRDI QIDQ649844

Takafumi Shibuta

Publication date: 6 December 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4302

zbMATH Keywords

Gröbner basisWeyl algebralog resolutionmultiplier ideal\(\mathcal D\)-modules

Mathematics Subject Classification ID

Computational aspects of higher-dimensional varieties (14Q15) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Multiplier ideals (14F18)

Related Items (8)

Log canonical thresholds of binomial ideals ⋮ Bernstein–Sato functional equations, V-filtrations, and multiplier ideals of direct summands ⋮ An algorithm for Hodge ideals ⋮ Multiplier ideals of plane curve singularities via Newton polygons ⋮ Constructive \(D\)-module theory with \texttt{Singular} ⋮ Computing jumping numbers in higher dimensions ⋮ Software for multiplier ideals ⋮ Monomial generators of complete planar ideals

Uses Software

• Risa/Asir
• Kan

Cites Work

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• Modules de Hodge polarisables. (Polarisable Hodge modules)
• An algorithm of computing \(b\)-functions
• Algorithms for the \(b\)-function and \(D\)-modules associated with a polynomial
• Algorithms for \(b\)-functions, restrictions, and algebraic local cohomology groups of \(D\)-modules
• Jumping coefficients of multiplier ideals
• Gröbner deformations of hypergeometric differential equations
• Multiplier ideals of monomial ideals
• MULTIPLICITY ONE PROPERTY AND THE DECOMPOSITION OF b-FUNCTIONS
• Singularities of Pairs
• Bernstein–Sato polynomials of arbitrary varieties
• Mixed Hodge modules
• Algorithms for \(D\)-modules -- restriction, tensor product, localization, and local cohomology groups

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