Hilbert Functions and the Koszul Complex

DOI10.1112/jlms/s2-24.3.459zbMath0442.13010OpenAlexW2070979460MaRDI QIDQ3884223

Hefzi A. Mehran, David Kirby

Publication date: 1981

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-24.3.459

zbMATH Keywords

multiplicityKoszul complexHilbert functionlengthNoetherian moduleEuler-Poincare characteristic

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Commutative Noetherian rings and modules (13E05) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (7)

On Hilbert functions and cohomology ⋮ On the depth of the fiber cone of filtrations ⋮ Local Cohomology of Rees Algebras and Hilbert Functions ⋮ Local cohomology of multi-Rees algebras with applications to joint reductions and complete ideals ⋮ Interpretation of the permanent as the sum of the weights of the injections of an m-element set into an n-element set (m?n) ⋮ Estimates on the depth of the associated graded ring ⋮ Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras.

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