首页|A syzygial method for equidimensional decomposition
A syzygial method for equidimensional decomposition
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NETL
NSTL
Elsevier
Based on a theorem by Vasconcelos, we give an algorithm for equidimensional decomposition of algebraic sets using syzygy computations via Gr & ouml;bner bases. This algorithm avoids the use of elimination, homological algebra and processing the input equations one-by-one present in previous algorithms. We experimentally demonstrate the practical interest of our algorithm compared to the state of the art. (c) 2025 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
Gr & oumlbner basisEquidimensional decompositionEffective algebraic geometryGROBNER BASESALGORITHMELIMINATIONSYSTEMS
NETL
NSTL
Elsevier
