Generic sequences of polynomials

DOI10.1016/j.jalgebra.2010.04.018zbMath1200.13025OpenAlexW2067930552MaRDI QIDQ994272

Keith Pardue

Publication date: 17 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.04.018

zbMATH Keywords

Gröbner basesHilbert seriesgeneric propertiesreverse lexicographic ideal

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (14)

Degrevlex Gröbner bases of generic complete intersections. ⋮ Gröbner bases and critical values: the asymptotic combinatorics of determinantal systems ⋮ Semi-Regular Sequences and Other Random Systems of Equations ⋮ On almost revlex ideals with Hilbert function of complete intersections ⋮ The complexity of solving Weil restriction systems ⋮ Gröbner bases of generic ideals ⋮ Matrix-F5 algorithms over finite-precision complete discrete valuation fields ⋮ The initial ideal of generic sequences and Fröberg's conjecture ⋮ Bounded regularity ⋮ On the complexity of computing Gröbner bases for weighted homogeneous systems ⋮ A class of Hilbert series and the strong Lefschetz property ⋮ Gröbner bases for finite-temperature quantum computing and their complexity ⋮ An Artinian Quotient of the Coordinate Ring of a Complete Intersection in ℙⁿHaving the Weak Lefschetz Property ⋮ Solving parametric systems of polynomial equations over the reals through Hermite matrices

Cites Work

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• Syzygies of semi-regular sequences
• Compressed Algebras: Artin Algebras Having Given Socle Degrees and Maximal Length
• An inequality for Hilbert series of graded algebras.
• THE LINEAR SYZYGIES OF GENERIC FORMS
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property

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