Localization, local cohomology, and the b-function of a D-module with respect to a polynomial

zbMath1411.14023arXiv1609.04676MaRDI QIDQ4627691

Toshinori Oaku

Publication date: 11 March 2019

Full work available at URL: https://arxiv.org/abs/1609.04676

zbMATH Keywords

multiplicityGröbner basishyperplanelocalizationlocal cohomologyarrangement\(b\)-function\(D\)-module

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15)

Related Items (2)

\(D\)-modules generated by rational powers of holomorphic functions ⋮ Bernstein-Sato Polynomials in Commutative Algebra

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