Combinatorially determined zeroes of Bernstein--Sato ideals for tame and free arrangements

DOI10.5427/jsing.2020.20hzbMath1457.14039arXiv1909.00547OpenAlexW3039165666MaRDI QIDQ5119400

Daniel Bath

Publication date: 4 September 2020

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.00547

zbMATH Keywords

Weyl algebraD-moduleshyperplane arrangementsBernstein-Sato polynomialsb-functionfree divisorslogarithmic differential formslogarithmic vector fieldsSpencer complextame arrangementsEuler-homogeneous divisorsSaito-holonomic divisors

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Local complex singularities (32S05) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (6)

Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting) ⋮ Bernstein-Sato Polynomials in Commutative Algebra ⋮ A note on Bernstein-Sato varieties for tame divisors and arrangements ⋮ Zero loci of Bernstein-Sato ideals ⋮ Bernstein-Sato ideals and hyperplane arrangements ⋮ On Bernstein–Sato ideals for central line arrangements

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