A combinatorial approach to involution and \(\delta \)-regularity. I: Involutive bases in polynomial algebras of solvable type

DOI10.1007/s00200-009-0098-0zbMath1175.13012arXivmath/0208247OpenAlexW1996006440MaRDI QIDQ1038703

Werner M. Seiler

Publication date: 20 November 2009

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208247

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (23)

Algebraic Theory of Linear Systems: A Survey ⋮ Resolving decompositions for polynomial modules ⋮ Unnamed Item ⋮ Quasi-stability versus Genericity ⋮ Smoothable Gorenstein Points Via Marked Schemes and Double-generic Initial Ideals ⋮ Encoding algebraic power series ⋮ A Pommaret bases approach to the degree of a polynomial ideal ⋮ Under- and overdetermined systems of differential equations ⋮ Deterministic genericity for polynomial ideals ⋮ Quasi-stable ideals and Borel-fixed ideals with a given Hilbert polynomial ⋮ Functors of liftings of projective schemes ⋮ Further perspectives on elimination ⋮ Recursive structures in involutive bases theory ⋮ Computing the resolution regularity of bi-homogeneous ideals ⋮ On the free resolution induced by a Pommaret basis ⋮ Term-ordering free involutive bases ⋮ Effective Genericity, δ-Regularity and Strong Noether Position ⋮ Double-generic initial ideal and Hilbert scheme ⋮ Macaulay-like marked bases ⋮ Toward involutive bases over effective rings ⋮ Computing quot schemes via marked bases over quasi-stable modules ⋮ Resolving Decompositions for Polynomial Modules ⋮ Improved Computation of Involutive Bases

Uses Software

• Plural
• SINGULAR
• SYMMGRP

Cites Work

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