Irreducible decomposition of algebraic varieties via characteristic sets and Gröbner bases

DOI10.1016/0167-8396(92)90045-QzbMath0776.14014MaRDI QIDQ1195755

Dongming Wang

Publication date: 18 January 1993

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

zbMATH Keywords

Gröbner basesdecomposing affine algebraic varieties of low degreeMaple system

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10)

Related Items (9)

Rational general solutions of systems of first-order algebraic partial differential equations ⋮ An algorithm to parametrize approximately space curves ⋮ Hilbert problem 15 and Ritt-Wu method. I ⋮ A Modified Van der Waerden Algorithm to Decompose Algebraic Varieties and Zero-Dimensional Radical Ideals ⋮ Algebraic factoring and geometry theorem proving ⋮ Polynomial systems from certain differential equations ⋮ On the complexity of counting components of algebraic varieties ⋮ Computer algebra and algebraic geometry -- achievements and perspectives ⋮ Implicit functions and parametrizations in dimension three: generalized solutions

Uses Software

• Maple

Cites Work

• An algorithm for constructing Gröbner bases from characteristic sets and its application to geometry
• Basic principles of mechanical theorem proving in elementary geometries
• Gröbner bases and primary decomposition of polynomial ideals
• Decomposing algebraic sets using Gröbner bases
• Associative differential operations
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