On the effective membership problem for polynomial ideals
Complex Variables
2012-11-22 v1 Algebraic Geometry
Abstract
We discuss the possibility of representing elements in polynomial ideals in with optimal degree bounds. Classical theorems due to Macaulay and Max Noether say that such a representation is possible under certain conditions on the variety of the associated homogeneous ideal. We present some variants of these results, as well as generalizations to subvarieties of .
Cite
@article{arxiv.1211.5096,
title = {On the effective membership problem for polynomial ideals},
author = {Mats Andersson and Elizabeth Wulcan},
journal= {arXiv preprint arXiv:1211.5096},
year = {2012}
}
Comments
17 pages