Tetrahedral curves via graphs and Alexander duality

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dc.creatorFrancisco, Christopher A.
dc.date2006-05-22
dc.date2007-05-25
dc.date.accessioned2026-07-07T08:03:09Z
dc.date.available2026-07-07T08:03:09Z
dc.descriptionA tetrahedral curve is a (usually nonreduced) curve in P^3 defined by an unmixed, height two ideal generated by monomials. We characterize when these curves are arithmetically Cohen-Macaulay by associating a graph to each curve and, using results from combinatorial commutative algebra and Alexander duality, relating the structure of the complementary graph to the Cohen-Macaulay property.
dc.description15 pages; minor revisions to v. 1 to improve clarity; to appear in JPAA
dc.identifierhttps://arxiv.org/abs/math/0605588
dc.identifierhttp://arxiv.org/abs/math/0605588
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129476
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject13D02; 13C14; 14M07; 05C38
dc.titleTetrahedral curves via graphs and Alexander duality
dc.typetext

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