Explicit representation of membership in polynomial ideals
Complex Variables
2009-08-21 v2
Abstract
We introduce a new division formula on projective space which provides explicit solutions to various polynomial division problems with sharp degree estimates. We consider simple examples as the classical Macaulay theorem as well as a quite recent result by Hickel, related to the effective Nullstellensatz. We also obtain a related result that generalizes Max Noether's classical AF+BG theorem.
Cite
@article{arxiv.0806.2592,
title = {Explicit representation of membership in polynomial ideals},
author = {Mats Andersson and Elin Götmark},
journal= {arXiv preprint arXiv:0806.2592},
year = {2009}
}
Comments
20 pages