ON A BERNSTEIN–SATO POLYNOMIAL OF A MEROMORPHIC FUNCTION

DOI10.1017/nmj.2023.10zbMath1529.14012arXiv2110.15780OpenAlexW4379516580MaRDI QIDQ6047170

Kiyoshi Takeuchi

Publication date: 7 September 2023

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.15780

zbMATH Keywords

D-moduleBernstein-Sato polynomialmultiplier idealjumping numberMilnor monodromy

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) 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)

Cites Work

• Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature
• \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
• Local Bernstein-Sato ideals: algorithm and examples
• B-functions and holonomic systems. Rationality of roots of B-functions
• Zeta functions for germs of meromorphic functions, and Newton diagrams
• An algorithm for de Rham cohomology groups of the complement of an affine variety via \(D\)-module computation
• Bernstein-Sato's polynomial for several analytic functions
• An algorithm of computing \(b\)-functions
• Sheaves in topology
• Jumping coefficients of multiplier ideals
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• Caracteristiques D'Euler-Poincare, Fonctions Zeta Locales et Modifications Analytiques
• On microlocal $b$-function
• Démonstration constructive de l'existence de polynômes de Bernstein–Sato pour plusieurs fonctions analytiques
• Multiplier ideals, 𝑉-filtration, and spectrum
• Bernstein-Sato Polynomials in Commutative Algebra
• Hodge Ideals
• The monodromy conjecture for plane meromorphic germs
• Bernstein–Sato polynomials of arbitrary varieties
• Singular Points of Complex Hypersurfaces. (AM-61)
• Motivic Milnor fibers of a rational function
• Algorithm for computing Bernstein-Sato ideals associated with a polynomial mapping.
• Meromorphic nearby cycle functors and monodromies of meromorphic functions (with Appendix by T. Saito)
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