Relative filtration, the Bernstein Ideal, and its slopes

DOI10.4171/rsmup/101zbMath1530.14038arXiv1610.03354OpenAlexW4286832107MaRDI QIDQ6082478

Philippe Maisonobe

Publication date: 6 November 2023

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03354

zbMATH Keywords

differential operatorscharacteristic varietyBernstein-Sato idealholonomic \(\mathcal{D}\)-modules

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)

Related Items (1)

A note on Bernstein-Sato varieties for tame divisors and arrangements

Cites Work

• Bernstein-Sato ideals and local systems
• B-functions and holonomic systems. Rationality of roots of B-functions
• Bernstein-Sato's polynomial for several analytic functions
• The analytic continuation of generalized functions with respect to a parameter
• Generalized functional equations: transversality and principality of the Bernstein-Sato ideal
• The Integrability of the Characteristic Variety
• La théorie du polynôme de Bernstein-Sato pour les algèbres de Tate et de Dwork-Monsky-Washnitzer
• Cycles évanescents algébriques et topologiques par un morphisme sans pente
• Stable module theory
• Fonctions zêta locales d'Igusa à plusieurs variables, intégration dans les fibres, et discriminants
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