Testing the Logarithmic Comparison Theorem for Free Divisors

DOI10.1080/10586458.2004.10504553zbMath1071.14024OpenAlexW1966621275MaRDI QIDQ4663075

Francisco-Jesús Castro-Jiménez, José María Ucha Enríquez

Publication date: 30 March 2005

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1109106436

zbMATH Keywords

Gröbner basesde Rham cohomology\({\mathcal D}\)-modulesSpencer divisors

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) de Rham cohomology and algebraic geometry (14F40)

Related Items (7)

Gröbner bases and logarithmic \(\mathcal D\)-modules. ⋮ Localization at hyperplane arrangements: combinatorics and \({\mathcal D}\)-modules ⋮ Logarithmic Comparison Theorem and some Euler homogeneous free divisors ⋮ The computation of the logarithmic cohomology for plane curves ⋮ On the symmetry of \(b\)-functions of linear free divisors ⋮ Tautological systems and free divisors ⋮ A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors

Uses Software

• Macaulay2
• Risa/Asir
• D-modules

Cites Work

• Algorithms for the \(b\)-function and \(D\)-modules associated with a polynomial
• Logarithmic cohomology of the complement of a plane curve
• Cohomology of the complement of a free divisor
• Explicit comparison theorems for \(\mathcal D\)-modules
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