Noetherianity for infinite-dimensional toric varieties

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

Research output: Book/ReportReportAcademic

124 Downloads (Pure)

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]

Fingerprint

Dive into the research topics of 'Noetherianity for infinite-dimensional toric varieties'. Together they form a unique fingerprint.

Cite this