Gröbner bases for families of affine or projective schemes

DOI10.1016/j.jsc.2007.05.001zbMath1134.13025arXivmath/0608019OpenAlexW2048154069MaRDI QIDQ2469230

Michael Wibmer

Publication date: 4 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0608019

zbMATH Keywords

comprehensive Gröbner baseslucky primesGröbner bases families

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (12)

Sets of special subvarieties of bounded degree ⋮ Computing the canonical representation of constructible sets ⋮ Finite sets of \(d\)-planes in affine space ⋮ On the functoriality of marked families ⋮ Comprehensive Gröbner basis theory for a parametric polynomial ideal and the associated completion algorithm ⋮ Gröbner bases for polynomial systems with parameters ⋮ Gröbner strata in the Hilbert scheme of points ⋮ A survey on algorithms for computing comprehensive Gröbner systems and comprehensive Gröbner bases ⋮ A parametric approach to 3D dynamic geometry ⋮ Invariant algebraic sets and symmetrization of polynomial systems ⋮ Automatic Discovery of Geometry Theorems Using Minimal Canonical Comprehensive Gröbner Systems ⋮ Minimal canonical comprehensive Gröbner systems

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