On degree bounds for the sparse Nullstellensatz

Published 13 Dec 2018 in math.AG | (1812.05505v2)

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.

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