The lex-plus-powers inequality for local cohomology modules

DOI10.1007/s00208-015-1180-5zbMath1410.13009arXiv1208.2187OpenAlexW2051576164MaRDI QIDQ2634871

Enrico Sbarra, Giulio Caviglia

Publication date: 10 February 2016

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2187

zbMATH Keywords

resolutionsSyzygiesLocal cohomology

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15)

Related Items (7)

On the Lex-plus-powers conjecture ⋮ The Eisenbud-Green-Harris Conjecture ⋮ Zero-generic initial ideals ⋮ Distractions of Shakin rings ⋮ Syzygies over a polynomial ring ⋮ On a conjecture by Kalai ⋮ A Cayley–Bacharach theorem for points in Pn

Uses Software

• Macaulay2
• LexIdeals

Cites Work

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• Poset embeddings of Hilbert functions
• Poset embeddings of Hilbert functions and Betti numbers
• A criterion for detecting m-regularity
• The Lex-Plus-Powers conjecture holds for pure powers
• Hilbert schemes and maximal Betti numbers over Veronese rings
• Deformation classes of graded modules and maximal Betti numbers
• Open problems on syzygies and Hilbert functions
• Lexifying ideals
• Some cases of the Eisenbud-Green-Harris conjecture
• A study of the lex plus powers conjecture.
• Ideals with stable Betti numbers
• Shifting operations and graded Betti numbers
• Almost complete intersections and the lex-plus-powers conjecture
• Extremal Betti numbers and applications to monomial ideals
• Ideals containing the squares of the variables
• Ideals with maximal local cohomology modules
• The residuals of lex plus powers ideals and the Eisenbud-Green-Harris conjecture
• UPPER BOUNDS FOR LOCAL COHOMOLOGY FOR RINGS WITH GIVEN HILBERT FUNCTION
• Gröbner bases, local cohomology and reduction number
• Cayley-Bacharach theorems and conjectures
• Upper bounds for the betti numbers of a given hilbert function
• Maximum betti numbers of homogeneous ideals with 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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