On a class of power ideals

DOI10.1016/j.jpaa.2014.10.007zbMath1314.13006arXiv1403.4793OpenAlexW2125638473MaRDI QIDQ2341529

Alessandro Oneto, Jörgen Backelin

Publication date: 24 April 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.4793

zbMATH Keywords

Hilbert seriespower idealsschemes of fat points

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Ideals and multiplicative ideal theory in commutative rings (13A15) Divisors, linear systems, invertible sheaves (14C20)

Related Items (5)

Hilbert Series of Generic Ideals in Products of Projective Spaces ⋮ Zero-dimensional complete intersections and their linear span in the Veronese embeddings of projective spaces ⋮ Gröbner bases of generic ideals ⋮ The initial ideal of generic sequences and Fröberg's conjecture ⋮ Syzygies of the Veronese Modules

Uses Software

• CoCoA
• Macaulay2

Cites Work

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• Containment results for ideals of various configurations of points in \(\mathbb P^N\)
• Classifying Hilbert functions of fat point subschemes in \(\mathbb{P}^2\)
• Comparison of symbolic and ordinary powers of ideals.
• Inverse system of a symbolic power. I
• Comparing powers and symbolic powers of ideals
• Combinatorics and geometry of power ideals
• On the Waring problem for polynomial rings
• Uniform bounds and symbolic powers on smooth varieties

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