Effective Genericity, δ-Regularity and Strong Noether Position

DOI10.1080/00927872.2011.599354zbMath1262.13043OpenAlexW2314586630MaRDI QIDQ4902962

Werner M. Seiler

Publication date: 18 January 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.599354

zbMATH Keywords

Castelnuovo-Mumford regularityPommaret basisquasi-stable idealHilbert regularitysatiety

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) 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) Effectivity, complexity and computational aspects of algebraic geometry (14Q20)

Related Items (6)

Quasi-stability versus Genericity ⋮ Deterministic genericity for polynomial ideals ⋮ Recursive structures in involutive bases theory ⋮ Computing the resolution regularity of bi-homogeneous ideals ⋮ Dimension and depth dependent upper bounds in polynomial ideal theory ⋮ Relative Gröbner and involutive bases for ideals in quotient rings

Cites Work

• Unnamed Item
• A criterion for detecting m-regularity
• Linear free resolutions and minimal multiplicity
• Noether normalization guided by monomial cone decompositions
• Involution. The formal theory of differential equations and its applications in computer algebra
• A combinatorial approach to involution and \(\delta \)-regularity. II: Structure analysis of polynomial modules with Pommaret bases
• A combinatorial approach to involution and \(\delta \)-regularity. I: Involutive bases in polynomial algebras of solvable type
• On the relation between Gröbner and Pommaret bases
• Finding sparse systems of parameters
• Involutive bases of polynomial ideals
• Minimal involutive bases
• An efficient algebraic algorithm for the geometric completion to involution
• Saturation and Castelnuovo-Mumford regularity
• Characteristic-free bounds for the Castelnuovo–Mumford regularity
• Verallgemeinerte COHEN-MACAULAY-Moduln
• On the arbitrariness of the general solution of an involutive partial differential equation
• Strong Nœther Position and Stabilized Regularities
• An algebraic model of transitive differential geometry

This page was built for publication: Effective Genericity, δ-Regularity and Strong Noether Position