Zero loci of Bernstein-Sato ideals. II

DOI10.1007/s00029-021-00652-3OpenAlexW3161752664MaRDI QIDQ2036281

Peng Zhou, Nero Budur, Robin van der Veer, Lei Wu

Publication date: 28 June 2021

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.05728

zbMATH Keywords

monodromylocal system\(\mathcal{D}\)-module\(b\)-functionBernstein-Sato ideal

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) Commutative rings of differential operators and their modules (13N10) Milnor fibration; relations with knot theory (32S55) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (4)

Characteristic cycles associated to holonomic \({\mathscr{D}} \)-modules ⋮ A note on Bernstein-Sato varieties for tame divisors and arrangements ⋮ Bernstein–Sato varieties and annihilation of powers ⋮ Bernstein-Sato ideals and hyperplane arrangements

Cites Work

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• Bernstein-Sato ideals and local systems
• Characteristic varieties and vanishing cycles
• On holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\)
• Bernstein-Sato's polynomial for several analytic functions
• Cohomology support loci of local systems
• The decomposition theorem, perverse sheaves and the topology of algebraic maps
• Absolute sets and the decomposition theorem
• Log -modules and index theorems

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