On the Hilbert series of ideals generated by generic forms

DOI10.1080/00927872.2016.1236931zbMath1376.13001arXiv1502.06762OpenAlexW1636663072MaRDI QIDQ4978397

Lisa Nicklasson

Publication date: 10 August 2017

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

Full work available at URL: https://arxiv.org/abs/1502.06762

zbMATH Keywords

graded algebrasHilbert seriesgeneric forms

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02)

Related Items (8)

Hilbert Series of Generic Ideals in Products of Projective Spaces ⋮ Identifiability for mixtures of centered Gaussians and sums of powers of quadratics ⋮ Gröbner bases of generic ideals ⋮ On generic and maximal \(k\)-ranks of binary forms ⋮ The initial ideal of generic sequences and Fröberg's conjecture ⋮ On the structure of monomial complete intersections in positive characteristic ⋮ Algebraic stories from one and from the other pockets ⋮ The Hitchhiker guide to: secant varieties and tensor decomposition

Uses Software

• Macaulay2

Cites Work

• Thin algebras of embedding dimension three
• On Hilbert series for commutative and noncommutative graded algebras
• Fat points, inverse systems, and piecewise polynomial functions
• An inequality for Hilbert series of graded algebras.

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