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Dimension-Dependent Upper Bounds for Gröbner Bases

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Publication:5119939
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DOI10.1145/3087604.3087624zbMath1450.13012arXiv1705.02776OpenAlexW2613140525MaRDI QIDQ5119939

Werner M. Seiler, Amir Hashemi

Publication date: 9 September 2020

Published in: Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.02776


zbMATH Keywords

stabilityGröbner basesdimensiondegreedepthCastelnuovo-Mumford regularitypolynomial idealsPommaret basesgeneric positions


Mathematics Subject Classification ID

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


Related Items (6)

A Direttissimo Algorithm for Equidimensional Decomposition ⋮ Complexity bounds on Semaev's naive index calculus method for ECDLP ⋮ Dimension and depth dependent upper bounds in polynomial ideal theory ⋮ Degree upper bounds for involutive bases ⋮ Degree bounds for Gröbner bases of modules ⋮ Computation of Macaulay constants and degree bounds for Gröbner bases




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