Mathematics > Algebraic Geometry
[Submitted on 13 Dec 2018 (v1), last revised 28 Jun 2019 (this version, v2)]
Title:On degree bounds for the sparse Nullstellensatz
View PDFAbstract: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.
Submission history
From: Maria Isabel Herrero [view email][v1] Thu, 13 Dec 2018 16:28:50 UTC (13 KB)
[v2] Fri, 28 Jun 2019 18:43:31 UTC (13 KB)
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