The b-function of Reiffen’s (p,4) isolated singularity

DOI10.1142/S0219498816501152zbMath1360.14065MaRDI QIDQ2803569

Yayoi Nakamura

Publication date: 2 May 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

\(D\)-modulesBernstein-Sato polynomialsReiffen's singularity

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) Complex surface and hypersurface singularities (32S25) Local cohomology and algebraic geometry (14B15)

Cites Work

• Unnamed Item
• Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi
• Algorithm computing the local \(b\) function by an approximate division algorithm in \(\widehat{\mathcal D}\)
• On the theory of b-functions
• Relative Poincaré lemma, contractibility, quasi-homogeneity and vector fields tangent to a singular variety
• On the computation of Bernstein-Sato ideals.
• Logarithmic Comparison Theorem and some Euler homogeneous free divisors

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