The Graph of Monomial Ideals

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dc.creatorAltmann, Klaus
dc.creatorSturmfels, Bernd
dc.date2002-09-12
dc.date.accessioned2026-07-07T04:50:49Z
dc.date.available2026-07-07T04:50:49Z
dc.descriptionThere is a natural infinite graph whose vertices are the monomial ideals in a polynomial ring. The definition involves Gröbner bases or the action of an algebraic torus. We present algorithms for computing the (affine schemes representing) edges in this graph. We study the induced subgraphs on multigraded Hilbert schemes and on square-free monomial ideals. In the latter case, the edges correspond to generalized bistellar flips.
dc.description15 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0209152
dc.identifierhttp://arxiv.org/abs/math/0209152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64930
dc.subjectCommutative Algebra
dc.subject13P10 (Primary) 14L30, 52B70 (Secondary)
dc.titleThe Graph of Monomial Ideals
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