Constructive characterization of the reduction numbers
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
Abstract
We present a constructive description of minimal reductions with a given reduction number. This description has interesting consequences on the minimal reduction number, the big reduction number, and the core of an ideal. In particular, it helps solve a conjecture of Vasconcelos on the relationship between reduction numbers and initial ideals.
Cite
@article{arxiv.math/0209375,
title = {Constructive characterization of the reduction numbers},
author = {Ngo Viet Trung},
journal= {arXiv preprint arXiv:math/0209375},
year = {2007}
}
Comments
15 pages