On degree bounds for the sparse Nullstellensatz
Algebraic Geometry
2019-07-02 v2
Abstract
We prove new upper bounds for the degrees in Hilbert's Nullstellensatz and for the Noether exponent of polynomial ideals in terms of the monomial structure of the polynomials involved. Our bounds improve the previously known bounds in the sparse setting and are the first to take into account the different supports of the polynomials.
Cite
@article{arxiv.1812.05505,
title = {On degree bounds for the sparse Nullstellensatz},
author = {Maria Isabel Herrero and Gabriela Jeronimo and Juan Sabia},
journal= {arXiv preprint arXiv:1812.05505},
year = {2019}
}
Comments
13 pages