A Groebner basis for the secant ideal of the second hypersimplex

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dc.creatorSullivant, Seth
dc.date2008-04-17
dc.date2008-12-10
dc.date.accessioned2026-07-07T12:10:31Z
dc.date.available2026-07-07T12:10:31Z
dc.descriptionWe determine a Groebner basis for the secant ideal of the toric ideal associated to the second hypersimplex, with respect to any circular term order. The Groebner basis of the secant ideal requires polynomials of odd degree up to n. This shows that the circular term order is 2-delightful, resolving a conjecture of Drton, Sturmfels, and the author. The proof uses Groebner degenerations for secant ideals, combinatorial characterizations of the secant ideals of monomial ideals, and the relations between secant ideals and prolongations.
dc.description9 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0804.2897
dc.identifierhttp://arxiv.org/abs/0804.2897
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209955
dc.subjectCommutative Algebra
dc.titleA Groebner basis for the secant ideal of the second hypersimplex
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