Lifting monomial ideals

DOI10.1080/00927870008827182zbMath1003.13005arXivmath/9907045OpenAlexW2592009789MaRDI QIDQ2707885

Uwe Nagel, Juan C. Migliore

Publication date: 27 January 2003

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

Full work available at URL: https://arxiv.org/abs/math/9907045

zbMATH Keywords

lifting of idealsresolutions of monomial idealsstick figure

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (19)

The scheme of liftings and applications ⋮ Functors of liftings of projective schemes ⋮ The Hilbert functions of ACM sets of points in \({\mathbb P}^{n_1} {\times}\dots{\times}{\mathbb P}^{n_k}\) ⋮ Some special configurations of points in \(\mathbb P^n\) ⋮ Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers. ⋮ Hyperplane sections and the subtlety of the Lefschetz properties ⋮ Syzygies of grids of projective lines ⋮ Glicci ideals ⋮ On the shape of a pure 𝑂-sequence ⋮ From grids to pseudo-grids of lines: Resolution and seminormality ⋮ On the lifting problem for homogeneous ideals ⋮ CANCELLATION IN RESOLUTIONS AND LEVEL ALGEBRAS ⋮ Hilbert functions on Cohen-Macaulay ideals with assigned generators' degrees ⋮ Numerical Properties of Fat Schemes with Special Support ⋮ Expecting the unexpected: quantifying the persistence of unexpected hypersurfaces ⋮ Geometric Description of Lifting Monomial Ideals ⋮ Generic Initial Ideals and Distractions ⋮ Specializations of Ferrers ideals ⋮ An Artinian Quotient of the Coordinate Ring of a Complete Intersection in ℙⁿHaving the Weak Lefschetz Property

Cites Work

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• Monomial ideals and points in projective space
• On superG-bases
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• Some examples of unimodal Gorenstein sequences
• What makes a complex exact?
• The Hilbert Function of a Reduced K -Algebra
• Smooth curves whose hyperplane section is a given set of points
• The hilbert function and the minimal free resolution of some gorenstein ideals of codimension 4
• Hyperplane sections of space curves of small genus

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