Almost complete intersections and the lex-plus-powers conjecture

DOI10.1016/j.jalgebra.2003.09.016zbMath1102.13009OpenAlexW2095327038WikidataQ123198466 ScholiaQ123198466MaRDI QIDQ1886831

Christopher A. Francisco

Publication date: 19 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.09.016

zbMATH Keywords

regular sequenceEisenbud-Green-Harris conjecturemaximal Betti numbersLPP

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (15)

On the Lex-plus-powers conjecture ⋮ Betti numbers of piecewiselex ideals ⋮ The Eisenbud-Green-Harris Conjecture ⋮ The lex-plus-powers inequality for local cohomology modules ⋮ Graded Betti numbers of balanced simplicial complexes ⋮ An application of liaison theory to the Eisenbud-Green-Harris conjecture ⋮ Syzygies over a polynomial ring ⋮ The Lex-Plus-Powers conjecture holds for pure powers ⋮ On the uniformity of zero-dimensional complete intersections ⋮ Some special cases of the Eisenbud-Green-Harris conjecture ⋮ Growth conditions for a family of ideals containing regular sequences ⋮ A Cayley–Bacharach theorem for points in Pn ⋮ Ideals containing the squares of the variables ⋮ Borel-plus-powers monomial ideals ⋮ A survey on the Eisenbud-Green-Harris conjecture

Uses Software

• Macaulay2
• LexIdeals

Cites Work

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• Deformation classes of graded modules and maximal Betti numbers
• A study of the lex plus powers conjecture.
• Ideals attaining a given Hilbert function
• Resolutions of \textbf{a}-stable ideals.
• Resolutions obtained by iterated mapping cones
• Almost complete intersections are not Gorenstein rings
• On the minimal free resolution of $n+1$ general forms
• An inequality for Hilbert series of graded algebras.
• POSSIBLE RESOLUTIONS FOR A GIVEN HILBERT FUNCTION
• Upper bounds for the betti numbers of a given hilbert function
• Maximum betti numbers of homogeneous ideals with a given hilbert function
• A generalization of a combinatorial theorem of macaulay
• Smallest graded Betti numbers

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