A note on Castelnuovo–Mumford regularity and Hilbert coefficients

Author:

Dung Le Xuan1,Hoa Le Tuan2

Affiliation:

1. Faculty of Natural Sciences, Hong Duc University, 565 Quang Trung, Thanh Hoa, Vietnam

2. Institute of Mathematics Hanoi, VAST, 18 Hoang Quoc Viet, 10307 Hanoi, Vietnam

Abstract

New upper and lower bounds on the Castelnuovo–Mumford regularity are given in terms of the Hilbert coefficients. Examples are provided to show that these bounds are in some sense nearly sharp.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Reference10 articles.

1. Hilbert functions of graded algebras over Artinian rings

2. Cambridge Studies in Advanced Mathematics;Brodmann M. P.,2013

3. Cambridge Studies in Advanced Mathematics;Bruns W.,1993

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

5. Reduction numbers of equimultiple ideals

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