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dc.contributor.authorSantos Leal, Francisco 
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2013-07-03T11:49:11Z
dc.date.available2013-07-03T11:49:11Z
dc.date.issued2000-03-29
dc.identifier.issn0894-0347
dc.identifier.issn1088-6834
dc.identifier.urihttp://hdl.handle.net/10902/2584
dc.description.abstractBy the ``space of triangulations" of a finite point configuration we mean either of the following two objects: the graph of triangulations of , whose vertices are the triangulations of and whose edges are the geometric bistellar operations between them or the partially ordered set (poset) of all polyhedral subdivisions of ordered by coherent refinement. The latter is a modification of the more usual Baues poset of . It is explicitly introduced here for the first time and is of special interest in the theory of toric varieties. We construct an integer point configuration in dimension 6 and a triangulation of it which admits no geometric bistellar operations. This triangulation is an isolated point in both the graph and the poset, which proves for the first time that these two objects cannot be connected.es_ES
dc.format.extent27 p.es_ES
dc.language.isoenges_ES
dc.publisherAmerican Mathematical Societyes_ES
dc.rights© Copyright 2000 American Mathematical Society. First published in Journal of The American Mathematical Society in vol. 13 iss. 3 published by the American Mathematical Societyes_ES
dc.sourceJournal of the American Mathematical Society, vol. 13, iss. 3, pp. 611-637, (2000)es_ES
dc.subject.otherTriangulationes_ES
dc.subject.otherPoint configurationes_ES
dc.subject.otherBistellar flipes_ES
dc.subject.otherPolyhedral subdivisiones_ES
dc.subject.otherBaues problemes_ES
dc.titleA point set whose space of triangulations is disconnectedes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttp://dx.doi.org/10.1090/S0894-0347-00-00330-1es_ES
dc.rights.accessRightsopenAccesses_ES
dc.identifier.DOI10.1090/S0894-0347-00-00330-1
dc.type.versionpublishedVersiones_ES


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