Stability Conditions of Monomial Bases and Comprehensive Gröbner Systems
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Publication:2915002
DOI10.1007/978-3-642-32973-9_21zbMath1373.13030OpenAlexW105797038MaRDI QIDQ2915002
Publication date: 21 September 2012
Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-32973-9_21
Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)
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Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic \(D\)-modules ⋮ Generic Gröbner basis of a parametric ideal and its application to a comprehensive Gröbner system ⋮ Algorithms for computing greatest common divisors of parametric multivariate polynomials ⋮ Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals ⋮ A new algorithm for computing logarithmic vector fields along an isolated singularity and Bruce-Roberts Milnor ideals ⋮ Testing zero-dimensionality of varieties at a point ⋮ An algorithm for computing torsion differential forms associated with an isolated hypersurface singularity ⋮ On QE algorithms over an algebraically closed field based on comprehensive Gröbner systems ⋮ On multivariate Hermitian quadratic forms ⋮ Solving parametric ideal membership problems and computing integral numbers in a ring of convergent power series via comprehensive Gröbner systems ⋮ An implementation of the Lê-Teissier method for computing local Euler obstructions ⋮ Generalized Integral Dependence Relations
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