Sails and Hilbert bases

dc.contributor.author	Moussafir, Jacques-Olivier
dc.date.accessioned	2011-04-26T08:02:34Z
dc.date.available	2011-04-26T08:02:34Z
dc.date.issued	2000
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/6036
dc.language.iso	en	en
dc.subject	Hilbert base	en
dc.subject	Klein polyhedron	en
dc.subject.ddc	515	en
dc.title	Sails and Hilbert bases	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	A Klein polyhedron is the convex hull of the nonzero integral points of a simplicial coneC⊂ ℝn. There are relationships between these polyhedra and the Hilbert bases of monoids of integral points contained in a simplicial cone. In the two-dimensional case, the set of integral points lying on the boundary of a Klein polyhedron contains a Hilbert base of the corresponding monoid. In general, this is not the case if the dimension is greater than or equal to three (e.g., [2]). However, in the three-dimensional case, we give a characterization of the polyhedra that still have this property. We give an example of such a sail and show that our criterion does not hold if the dimension is four.	en
dc.relation.isversionofjnlname	Functional Analysis and its Applications
dc.relation.isversionofjnlvol	34	en
dc.relation.isversionofjnlissue	2	en
dc.relation.isversionofjnldate	2000
dc.relation.isversionofjnlpages	114-118	en
dc.relation.isversionofdoi	http://dx.doi.org/10.1007/BF02482424	en
dc.description.sponsorshipprivate	oui	en
dc.relation.isversionofjnlpublisher	Springer	en
dc.subject.ddclabel	Analyse	en

Related items