Associated primes and arithmetic degrees

DOI10.1006/jabr.1996.6952zbMath0887.13015OpenAlexW2005417613MaRDI QIDQ1359020

Kohji Yanagawa, Chikashi Miyazaki, Wolfgang Vogel

Publication date: 25 May 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.6952

zbMATH Keywords

effective Nullstellensatzpolynomial idealshomological methodslength-multiplicity

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Relevant commutative algebra (14A05)

Related Items (5)

Sequentially Cohen-Macaulay binomial edge ideals of closed graphs ⋮ Alexander duality for the alternative polarizations of strongly stable ideals ⋮ Finiteness of Hilbert functions and bounds for Castelnuovo-Mumford regularity of initial ideals ⋮ Arithmetic degree and associated graded modules ⋮ Sequences that Preserve the Homological Degree

Uses Software

• Macaulay2

Cites Work

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• Computation of Hilbert functions
• Direct methods for primary decomposition
• Die Sätze von Bertini für lokale Ringe
• On multiplicities of local rings
• Bounds on degrees of projective schemes
• Towards a theory of arithmetic degrees
• Connectedness of Hilbert scheme
• Sharp Effective Nullstellensatz
• What can be computed in algebraic geometry?

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