Distractions of Shakin rings

DOI10.1016/j.jalgebra.2014.05.008zbMath1314.13003arXiv1308.4659OpenAlexW2963260428MaRDI QIDQ406600

Enrico Sbarra, Giulio Caviglia

Publication date: 8 September 2014

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

Full work available at URL: https://arxiv.org/abs/1308.4659

zbMATH Keywords

DistractionsEisenbud-Green-Harris ConjectureEmbeddings of Hilbert functionsPiecewise lex-segment ideals

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Graded rings (13A02) Syzygies, resolutions, complexes and commutative rings (13D02) Computational homological algebra (13P20)

Related Items (3)

Betti numbers of piecewiselex ideals ⋮ An application of liaison theory to the Eisenbud-Green-Harris conjecture ⋮ Syzygies over a polynomial ring

Cites Work

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• Poset embeddings of Hilbert functions
• Poset embeddings of Hilbert functions and Betti numbers
• On a conjecture by Kalai
• The Lex-Plus-Powers conjecture holds for pure powers
• Deformation classes of graded modules and maximal Betti numbers
• Hilbert functions over toric rings
• Lexifying ideals
• Some cases of the Eisenbud-Green-Harris conjecture
• Betti numbers of lex ideals over some Macaulay-lex rings
• Ideals containing the squares of the variables
• Ideals with maximal local cohomology modules
• Lexlike sequences
• The lex-plus-powers inequality for local cohomology modules
• UPPER BOUNDS FOR LOCAL COHOMOLOGY FOR RINGS WITH GIVEN HILBERT FUNCTION
• Monomial regular sequences
• A generalization of macaulay's theorem
• Piecewise lexsegment ideals
• Cayley-Bacharach theorems and conjectures
• Upper bounds for the betti numbers of a given hilbert function
• Generic Initial Ideals and Distractions
• On the Eisenbud-Green-Harris conjecture
• A generalization of a combinatorial theorem of macaulay

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