Generic Initial Ideals and Distractions

DOI10.1081/AGB-200058217zbMath1084.13009arXivmath/0308004MaRDI QIDQ5466651

Anna Maria Bigatti, Lorenzo Robbiano, Aldo Conca

Publication date: 25 August 2005

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

Full work available at URL: https://arxiv.org/abs/math/0308004

zbMATH Keywords

Gröbner basisgeneric initial idealideal of pointsrevlexdistraction

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (15)

The Eisenbud-Green-Harris Conjecture ⋮ The lex-plus-powers inequality for local cohomology modules ⋮ Hilbert Function and Betti Numbers of Algebras with Lefschetz Property of Orderm ⋮ Generic initial ideals and squeezed spheres ⋮ Poset embeddings of Hilbert functions ⋮ Symbolic powers of perfect ideals of codimension 2 and birational maps ⋮ Distractions of Shakin rings ⋮ Betti numbers of strongly color-stable ideals and squarefree strongly color-stable ideals ⋮ From grids to pseudo-grids of lines: Resolution and seminormality ⋮ On syzygies, degree, and geometric properties of projective schemes with property \(\mathbb{N}_{3, p}\) ⋮ Reverse lexicographic and lexicographic shifting ⋮ Linear normality of general linear sections and some graded Betti numbers of 3-regular projective schemes ⋮ Numerical Properties of Fat Schemes with Special Support ⋮ Generic initial ideals of modular polynomial invariants ⋮ An Artinian Quotient of the Coordinate Ring of a Complete Intersection in ℙⁿHaving the Weak Lefschetz Property

Uses Software

• CoCoA

Cites Work

• Minimal resolutions of some monomial ideals
• Lifting monomial ideals
• Unnamed Item

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