On an implementation of standard bases and syzygies in SINGULAR

DOI10.1007/BF01190332zbMath0854.13016OpenAlexW2044449640MaRDI QIDQ1912714

Gerhard Pfister, Gert-Martin Greuel, Bernd Martin, W. Pohl, Hans Schönemann, W. Neumann, Hubert Grassmann, Thomas Siebert

Publication date: 23 June 1996

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01190332

zbMATH Keywords

minimal resolutionssyzygiesstandard basis algorithmHCtestsystem SINGULAR

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Singularities in algebraic geometry (14B05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items

Computing minimal finite free resolutions, Advances and improvements in the theory of standard bases and syzygies, Computing Tjurina stratifications of \(\mu \)-constant deformations via parametric local cohomology systems, Standard bases in \(Kt_1,\ldots ,t_m[x_1,\ldots ,x_n^s\)], CSSg method for several genericities of parametric systems

Uses Software

• CoCoA
• Macaulay2
• SINGULAR

Cites Work

• A criterion for detecting m-regularity
• New constructive methods in classical ideal theory
• On an installation of Buchberger's algorithm
• The tangent cone algorithm and homogenization
• Advances and improvements in the theory of standard bases and syzygies
• A standard basis approach to syzygies of canonical curves.
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