Cohomology, stratifications and parametric Gröbner bases in characteristic zero.

DOI10.1016/S0747-7171(03)00019-1zbMath1079.14506MaRDI QIDQ1404417

Uli Walther

Publication date: 21 August 2003

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

stratificationparametric Gröbner bases

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) de Rham cohomology and algebraic geometry (14F40)

Related Items (1)

Gröbner bases for families of affine or projective schemes

Uses Software

• Kan

Cites Work

• Comprehensive Gröbner bases
• Types topologiques des polynômes
• An algorithm for de Rham cohomology groups of the complement of an affine variety via \(D\)-module computation
• Algorithmic computation of local cohomology modules and the local cohomological dimension of algebraic varieties
• Algorithms for \(b\)-functions, restrictions, and algebraic local cohomology groups of \(D\)-modules
• Algorithmic computation of de Rham cohomology of complements of complex affine varieties
• Gröbner deformations of hypergeometric differential equations
• Lifting standard bases in filtered structures
• On Bernstein-Sato polynomials
• Algorithms for \(D\)-modules -- restriction, tensor product, localization, and local cohomology groups
• Computing the cup product structure for complements of complex affine varieties.
• Constructibility of the set of polynomials with a fixed Bernstein-Sato polynomial: an algorithmic approach.
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