Regularity of lex-segment ideals: Some closed formulas and applications

DOI10.1090/S0002-9939-02-06647-9zbMath1036.13014MaRDI QIDQ4787494

Guillermo Moreno-Socías, Marc Chardin

Publication date: 7 January 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hilbert functionHilbert polynomialCastelnuovo-Mumford regularitylex-segment idealmaximal degree of Gröbner basis

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) Local cohomology and commutative rings (13D45)

Related Items

Castelnuovo-Mumford regularity, postulation numbers, and reduction numbers ⋮ The converse of a theorem by Bayer and Stillman ⋮ Castelnuovo-Mumford regularity of initial ideals ⋮ Bounds for the Castelnuovo-Mumford regularity of singular schemes ⋮ Standard decompositions in generic coordinates ⋮ Regularity of primes associated with polynomial parametrisations ⋮ Finiteness of Hilbert functions and bounds for Castelnuovo-Mumford regularity of initial ideals ⋮ The range of all regularities for polynomial ideals with a given Hilbert function ⋮ Generic initial ideals of points and curves ⋮ Minimum distance functions of complete intersections ⋮ Footprint and minimum distance functions ⋮ Non-linear behaviour of Castelnuovo-Mumford regularity ⋮ Degree bounds for Gröbner bases in algebras of solvable type ⋮ A note on Castelnuovo–Mumford regularity and Hilbert coefficients

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