Completely empty pyramids on integer lattices and two-dimensional faces of multidimensional continued fractions

dc.contributor.author	Karpenkov, Oleg
dc.date.accessioned	2011-07-25T16:42:11Z
dc.date.available	2011-07-25T16:42:11Z
dc.date.issued	2007
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/6786
dc.language.iso	en	en
dc.subject	Convex polygons	en
dc.subject	integer lattices	en
dc.subject	multidimensional continued fractions	en
dc.subject.ddc	512	en
dc.title	Completely empty pyramids on integer lattices and two-dimensional faces of multidimensional continued fractions	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	In this paper we develop an integer-affine classification of three-dimensional multistory, completely empty convex marked pyramids. We apply it to obtain the complete lists of compact two-dimensional faces of multidimensional continued fractions lying in planes at integer distances 2, 3, 4, … to the origin. The faces are considered up to the action of the group of integer-linear transformations.	en
dc.relation.isversionofjnlname	Monatshefte für Mathematik
dc.relation.isversionofjnlvol	152	en
dc.relation.isversionofjnlissue	3	en
dc.relation.isversionofjnldate	2007
dc.relation.isversionofjnlpages	217-249	en
dc.relation.isversionofdoi	http://dx.doi.org/10.1007/s00605-007-0478-0	en
dc.identifier.urlsite	http://arxiv.org/abs/math/0510482v2	en
dc.description.sponsorshipprivate	oui	en
dc.relation.isversionofjnlpublisher	Springer	en
dc.subject.ddclabel	Algèbre	en

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