Koszul homology and extremal properties of Gin and Lex
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Publication:4813792
DOI10.1090/S0002-9947-03-03393-2zbMath1100.13013arXivmath/0212084MaRDI QIDQ4813792
Publication date: 13 August 2004
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0212084
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Syzygies, resolutions, complexes and commutative rings (13D02)
Related Items (22)
IDEALS WITH (d1, . . . , dm)-LINEAR QUOTIENTS ⋮ Powers of componentwise linear ideals: the Herzog-Hibi-Ohsugi conjecture and related problems ⋮ Generic initial ideals of singular curves in graded lexicographic order ⋮ The converse of a theorem by Bayer and Stillman ⋮ Hilbert Function and Betti Numbers of Algebras with Lefschetz Property of Orderm ⋮ Minimal free resolution of a finitely generated module over a regular local ring ⋮ Poset embeddings of Hilbert functions ⋮ Some geometric results arising from the Borel fixed property ⋮ A hyperplane restriction theorem and applications to reductions of ideals ⋮ Zero-generic initial ideals ⋮ Componentwise regularity. I ⋮ A rigidity property of local cohomology modules ⋮ Rigidity of Linear Strands and Generic Initial Ideals ⋮ Artinian level algebras of codimension 3 ⋮ Hilbert scheme strata defined by bounding cohomology ⋮ Generic initial ideals and fibre products ⋮ Some Families of Componentwise Linear Monomial Ideals ⋮ Algebraic Shifting and Exterior and Symmetric Algebra Methods ⋮ The depth of an ideal with a given Hilbert function ⋮ Initial ideals of Borel type ⋮ Hilbert function of local Artinian level rings in codimension two ⋮ Criteria for Componentwise Linearity
Uses Software
Cites Work
- A criterion for detecting m-regularity
- Deformation classes of graded modules and maximal Betti numbers
- Minimal resolutions of some monomial ideals
- Approximation complexes of blowing-up rings. II
- Some features of \(CoCoA 3\)
- Ideals with stable Betti numbers
- Rigid resolutions and big Betti numbers
- Koszul cycles and Eliahou-Kervaire type resolutions
- UPPER BOUNDS FOR LOCAL COHOMOLOGY FOR RINGS WITH GIVEN HILBERT FUNCTION
- Componentwise linear ideals
- Almost regular sequences and Betti numbers
- Reduction numbers and initial ideals
- Betti numbers forp-stable ideals
- Upper bounds for the betti numbers of a given hilbert function
- Maximum betti numbers of homogeneous ideals with a given hilbert function
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