The Projective Noether Maple Package: Computing the dimension of a projective variety

DOI10.1006/jsco.2000.0369zbMath0963.68235OpenAlexW2076202938MaRDI QIDQ1587230

Joël Marchand, Klemens Hägele, Grégoire Lecerf, Bruno Salvy, Marc Giusti

Publication date: 6 March 2001

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

Full work available at URL: https://doi.org/10.1006/jsco.2000.0369

zbMATH Keywords

elimination theoryMapleProjective Noether Package

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Related Items

Strong Nœther Position and Stabilized Regularities, A concise proof of the Kronecker polynomial system solver from scratch, Computing the equidimensional decomposition of an algebraic closed set by means of lifting fibers, A Gröbner free alternative for polynomial system solving, A parametric representation of totally mixed Nash equilibria, Efficient Algorithms for Computing Nœther Normalization, Projective Noether, Nœther bases and their applications, Functional programming concepts and straight-line programs in computer algebra, Numerical homotopies to compute generic points on positive dimensional algebraic sets, On the complexity of the \(F_5\) Gröbner basis algorithm

Uses Software

• Kronecker
• Maple

Cites Work

• On computing the determinant in small parallel time using a small number of processors
• Combinatorial dimension theory of algebraic varieties
• Deforestation: Transforming programs to eliminate trees
• A fast parallel algorithm to compute the rank of a matrix over an arbitrary field
• On the representation of rational functions of bounded complexity
• Berechnung und Programm. I
• Berechnung und Programm. II
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