The tangent cone algorithm and homogenization

DOI10.1016/0022-4049(94)00020-4zbMath0813.13027OpenAlexW2052063537MaRDI QIDQ1346190

Hans-Gert Gräbe

Publication date: 30 May 1995

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

Full work available at URL: https://doi.org/10.1016/0022-4049(94)00020-4

zbMATH Keywords

tangent cone algorithm

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects in algebraic geometry (14Q99)

Related Items (9)

Standard bases in mixed power series and polynomial rings over rings ⋮ Encoding algebraic power series ⋮ On an implementation of standard bases and syzygies in SINGULAR ⋮ Advances and improvements in the theory of standard bases and syzygies ⋮ The \(\lambda \)-Gröbner bases under polynomial composition ⋮ Tangent cone algorithm for homogenized differential operators ⋮ Standard bases in \(Kt_1,\ldots ,t_m[x_1,\ldots ,x_n^s\)] ⋮ A combinatorial approach to involution and \(\delta \)-regularity. I: Involutive bases in polynomial algebras of solvable type ⋮ The virtues of laziness: Complexity of the tangent cone algorithm

Uses Software

• CoCoA
• REDUCE
• CALI

Cites Work

• On the theory of graded structures
• Gröbner bases and primary decomposition of polynomial ideals
• The Gröbner fan of an ideal
• Algorithms in local algebra
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