The vanishing ideal of a finite set of closed points in affine space

DOI10.1016/j.jpaa.2007.08.002zbMath1137.13017arXivmath/0604133OpenAlexW1973581456MaRDI QIDQ2475109

Mathias Lederer

Publication date: 10 March 2008

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604133

zbMATH Keywords

Gröbner basisvanishing idealBuchberger-Möller algorithm

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20)

Related Items (7)

Finite sets of \(d\)-planes in affine space ⋮ Connect four and graph decomposition ⋮ Chinese Remainder Theorem for bivariate lexicographic Gröbner bases ⋮ Gröbner strata in the Hilbert scheme of points ⋮ The Vanishing Ideal of a Finite Set of Points with Multiplicity Structures ⋮ Bar code: a visual representation for finite sets of terms and its applications ⋮ A fast algorithm for multivariate Hermite interpolation

Cites Work

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• Gröbner basis solutions of constrained interpolation problems
• Polynomial interpolation in several variables
• The lex game and some applications
• The Big Mother of all Dualities: Möller Algorithm

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