Poset embeddings of Hilbert functions and Betti numbers

DOI10.1016/j.jalgebra.2014.04.007zbMath1348.13023arXiv1210.5562OpenAlexW2963802945MaRDI QIDQ403111

Manoj Kummini, Giulio Caviglia

Publication date: 29 August 2014

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

Full work available at URL: https://arxiv.org/abs/1210.5562

zbMATH Keywords

graded Betti numbersembeddings of Hilbert functionshyperplane restriction theoremslex-plus-powers conjecturelex-segment ideals

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (7)

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 ⋮ Distractions of Shakin rings ⋮ A Cayley–Bacharach theorem for points in Pn ⋮ A survey on the Eisenbud-Green-Harris conjecture

Uses Software

• Macaulay2

Cites Work

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• Poset embeddings of Hilbert functions
• The Lex-Plus-Powers conjecture holds for pure powers
• Hilbert schemes and maximal Betti numbers over Veronese rings
• Applications of mapping cones over Clements-Lindström rings
• Deformation classes of graded modules and maximal Betti numbers
• Lexifying ideals
• Minimal resolutions of some monomial ideals
• The minimal free resolution of a Borel ideal
• 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
• Borel-plus-powers monomial ideals
• Maximal Betti numbers
• Hilbert schemes and Betti numbers over Clements–Lindström rings
• Maximal minimal resolutions
• Piecewise lexsegment ideals
• Consecutive cancellations in Betti numbers
• 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

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