A sparse effective Nullstellensatz
alg-geom
2007-05-23 v1 Commutative Algebra
Algebraic Geometry
Abstract
We present bounds for the sparseness and for the degrees of the polynomials in the Nullstellensatz. Our bounds depend mainly on the unmixed volume of the input polynomial system. The degree bounds can substantially improve the known ones when this polynomial system is sparse, and they are, in the worst case, simply exponential in terms of the number of variables and the maximum degree of the input polynomials.
Cite
@article{arxiv.alg-geom/9710003,
title = {A sparse effective Nullstellensatz},
author = {Mart'in Sombra},
journal= {arXiv preprint arXiv:alg-geom/9710003},
year = {2007}
}
Comments
24 pages, Latex2e, available at http://www.dm.uba.ar/tera/ and http://hilbert.matesco.unican.es/tera/