An effective residual criterion for the membership problem in \(\mathbb{C} [z_ 1,\cdots{} ,z_ n]\)

DOI10.1016/0022-4049(91)90080-LzbMath0754.14034MaRDI QIDQ1181467

Alicia Dickenstein, Carmen Sessa

Publication date: 27 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

effective test for the membership problem in the case of a polynomial complete intersection

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Complete intersections (14M10)

Related Items (5)

Bounds of traces in complete intersections and degrees in the Nullstellensatz ⋮ A global view of residues in the torus ⋮ Residue calculus and applications ⋮ Multidimensional residues and complexity problems. ⋮ Algorithms for residues and Łojasiewicz exponents

Cites Work

• Canonical representatives in moderate cohomology
• Bounds for the degrees in the Nullstellensatz
• The membership problem for unmixed polynomial ideals is solvable in single exponential time
• Les courants residuels associes à une forme méromorphe
• Affine duality and cofiniteness
• Sharp Effective Nullstellensatz
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