A numerical property of Hilbert functions and lex segment ideals

DOI10.4134/JKMS.j190380zbMath1439.13050arXiv1710.09358MaRDI QIDQ5108995

Giuseppe Favacchio

Publication date: 7 May 2020

Full work available at URL: https://arxiv.org/abs/1710.09358

zbMATH Keywords

bigraded algebraHilbert functionlex segment ideal

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Ideals and multiplicative ideal theory in commutative rings (13A15)

Uses Software

• CoCoA

Cites Work

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• Minimal resolutions of some monomial ideals
• Hilbert functions of graded algebras
• Bigeneric initial ideals, diagonal subalgebras and bigraded Hilbert functions
• The border of the Hilbert function of a set of points in \(\mathbb P^{n_1}\times \cdots \times \mathbb P^{n_k}\)
• Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1
• The Minimal Free Resolution of Fat Almost Complete Intersections in ℙ¹ × ℙ¹
• On the arithmetically Cohen-Macaulay property for sets of points in multiprojective spaces
• Monomial Ideals
• ON THE BETTI NUMBERS OF THREE FAT POINTS IN ℙ 1 × ℙ 1
• Special arrangements of lines: Codimension 2 ACM varieties in ℙ1 × ℙ1 × ℙ1
• Multiprojective spaces and the arithmetically Cohen–Macaulay property

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