Hilbert functions of \(d\)-regular ideals
From MaRDI portal
Publication:2466940
DOI10.1016/j.jalgebra.2007.05.008zbMath1144.13006arXivmath/0611020OpenAlexW2050587401MaRDI QIDQ2466940
Publication date: 16 January 2008
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0611020
regularityprojective dimensionHilbert functionBetti numbergeneric initial idealsquarefree monomial ideal
Related Items
Simplicial orders and chordality ⋮ Combinatorial interpretations of some Boij-Söderberg decompositions ⋮ Computation of graded ideals with given extremal Betti numbers in a polynomial ring ⋮ The uniform face ideals of a simplicial complex ⋮ The possible extremal Betti numbers of a homogeneous ideal ⋮ On Decomposing Betti Tables andO-Sequences
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A criterion for detecting m-regularity
- Deformation classes of graded modules and maximal Betti numbers
- Linear free resolutions and minimal multiplicity
- Minimal resolutions of some monomial ideals
- Characterization of f-vectors of families of convex sets in \({\mathbb{R}}^ d\). I: Necessity of Eckhoff's conditions
- Characterization of f-vectors of families of convex sets in \({\mathbb{R}}^ d\). II: Sufficiency of Eckhoff's conditions
- Squarefree lexsegment ideals
- Resolutions of Stanley-Reisner rings and Alexander duality
- Initial ideals, Veronese subrings, and rates of algebras
- Gotzmann theorems for exterior algebras and combinatorics
- Shifting operations and graded Betti numbers
- Combinatorics and commutative algebra.
- Extremal Betti numbers and applications to monomial ideals
- Algebraic shifting and graded Betti numbers
- Upper bounds for the betti numbers of a given hilbert function
- Maximum betti numbers of homogeneous ideals with a given hilbert function
- The depth of an ideal with a given Hilbert function
