Standard bases in \(K[[t_1,\ldots ,t_m]][x_1,\ldots ,x_n]^s\)

DOI10.1016/j.jsc.2008.03.003zbMath1161.13015arXiv0705.2436OpenAlexW2057875372MaRDI QIDQ2517806

Thomas Markwig

Publication date: 9 January 2009

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

Full work available at URL: https://arxiv.org/abs/0705.2436

zbMATH Keywords

power series ringstandard basis

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Analytic algebras and generalizations, preparation theorems (32B05)

Related Items (1)

Standard bases in mixed power series and polynomial rings over rings

Uses Software

• SINGULAR

Cites Work

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• Stability and Buchberger criterion for standard bases in power series rings
• An algorithm for lifting points in a tropical variety
• A computational model for algebraic power series
• The tangent cone algorithm and homogenization
• On an implementation of standard bases and syzygies in SINGULAR
• Advances and improvements in the theory of standard bases and syzygies
• Perfect bases for differential equations
• Über die Deformation isolierter Singularitäten analytischer Mengen
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I

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