Noetherianity for infinite-dimensional toric varieties

J. Draisma, R.H. Eggermont, R. Krone, A. Leykin

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Abstract

We prove that many families of toric ideals stabilize up to symmetry. Our results imply Hillar-Sullivant's Independent Set Theorem and settle afformatively questions in work by Aschenbrenner-Hillar, Hillar-Sullivant, and Hillar-Martin del Campo. Our approach involves splitting an equivariant monomial map into a part for which we have an explicit degree bound of the kernel, and a part for which we can prove that the source, a so-called matching monoid, is equivariantly Noetherian.
Original languageEnglish
Publishers.n.
Number of pages20
Publication statusPublished - 2013

Publication series

NamearXiv.org
Volume1306.0828 [math.AC]

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    Draisma, J., Eggermont, R. H., Krone, R., & Leykin, A. (2013). Noetherianity for infinite-dimensional toric varieties. (arXiv.org; Vol. 1306.0828 [math.AC]). s.n.