Roots of Bernstein-Sato polynomials of certain homogeneous polynomials with two-dimensional singular loci

DOI10.4310/PAMQ.2020.v16.n4.a13zbMath1457.14043arXiv1703.05741OpenAlexW3101302160MaRDI QIDQ2214909

Morihiko Saito

Publication date: 10 December 2020

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.05741

zbMATH Keywords

symmetrymonodromyhyperplane arrangementsBernstein-Sato polynomialsnonisolated hypersurface singularitiesweighted homogeneous singularitiespole order filtrationKoszul cohomologiesmodified spectranonreduced plane curvesstrongly free 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) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

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Local Cohomology—An Invitation ⋮ Briançon-Skoda exponents and the maximal root of reduced Bernstein-Sato polynomials ⋮ Higher Du Bois singularities of hypersurfaces ⋮ Computing Milnor fiber monodromy for some projective hypersurfaces

Uses Software

• Macaulay2
• Risa/Asir
• SINGULAR