Standard bases, critical tropisms and flatness

DOI10.1007/BF01202038zbMath0794.14021MaRDI QIDQ1261197

Abdallah Assi

Publication date: 31 August 1993

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

zbMATH Keywords

standard basesNewton's polygoncritical tropismsgeneric flatnessHironaka's division

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20)

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Cites Work

• Gröbner bases and primary decomposition of polynomial ideals
• The Gröbner fan of an ideal
• Standard bases and geometric invariant theory. I: Initial ideals and state polytopes
• Unimodular Hermitian and skew-Hermitian forms
• The red book of varieties and schemes
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
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