Computation of Hilbert polynomials in two variables

DOI10.1006/jsco.1999.0320zbMath0976.13011OpenAlexW2025962184MaRDI QIDQ1974698

Alexander B. Levin

Publication date: 8 May 2000

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.1999.0320

zbMATH Keywords

differential dimension polynomialHilbert polynomials

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Exact enumeration problems, generating functions (05A15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Differential algebra (12H05) Modules of differentials (13N05)

Related Items (4)

Arbitrariness of the general solution of the partial differential equations and its applications ⋮ Ideals, bifiltered modules and bivariate Hilbert polynomials ⋮ Difference Algebra ⋮ Bivariate dimension quasi-polynomials of difference-differential field extensions with weighted basic operators

Cites Work

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• CHARACTERISTIC POLYNOMIALS OF FILTERED DIFFERENCE MODULES AND OF EXTENSIONS OF DIFFERENCE FIELDS
• COMPUTATION OF DIMENSION POLYNOMIALS
• Well-Ordering of Certain Numerical Polynomials
• Differential Dimension Polynomials of Finitely Generated Extensions
• Kahler Differentials and Differential Algebra in Arbitrary Characteristic
• A recursive algorithm for the computation of the hilbert polynomial
• The notion of dimension in the theory of algebraic differential equations
• Differential Dimension Polynomials and a Fundamental Theorem on Differential Modules

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