Algorithms for Bernstein--Sato polynomials and multiplier ideals

DOI10.1145/1837934.1837958zbMath1321.68522arXiv1002.1475OpenAlexW1963927721MaRDI QIDQ2946527

Anton Leykin, Christine Berkesch Zamaere

Publication date: 17 September 2015

Published in: Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1475

zbMATH Keywords

multiplier ideals\(D\)-modulesBernstein-Sato polynomial\(V\)-filtrationjumping coefficientslog-canonical threshold

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computational aspects of higher-dimensional varieties (14Q15) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Multiplier ideals (14F18)

Related Items (11)

Bernstein–Sato functional equations, V-filtrations, and multiplier ideals of direct summands ⋮ Hodge ideals of free divisors ⋮ Bernstein-Sato Polynomials in Commutative Algebra ⋮ Local Cohomology—An Invitation ⋮ An algorithm for Hodge ideals ⋮ Multiplier ideals of plane curve singularities via Newton polygons ⋮ The strong monodromy conjecture for monomial ideals on toric varieties ⋮ Jumping numbers of analytic multiplier ideals (with an appendix by S ⋮ Bernstein -- Sato polynomials on normal toric varieties ⋮ Computing jumping numbers in higher dimensions ⋮ Monomial generators of complete planar ideals

Uses Software

• Macaulay2
• Risa/Asir
• SINGULAR
• Kan
• D-modules
• DIFFALG
• AIDA

Cites Work

• Differential algebra for derivations with nontrivial commutation rules
• Generating differential invariants
• Projective-type differential invariants and geometric curve evolutions of KdV-type in flat homogeneous manifolds
• Smooth and algebraic invariants of a group action: Local and global constructions
• Differential invariants of a Lie group action: syzygies on a generating set
• Invariants différentiels d'un pseudogroupe de Lie. I
• Invariants différentiels d'un pseudogroupe de Lie. II
• Higher order contact of submanifolds of homogeneous spaces
• Moving coframes. II: Regularization and theoretical foundations
• Rational invariants of a group action. Construction and rewriting
• Differential invariants of conformal and projective surfaces
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