The lower bound for the volume of a three-dimensional convex polytope

dc.contributor.author	Kawaguchi, R.
dc.date.accessioned	2019-06-16T09:40:36Z
dc.date.available	2019-06-16T09:40:36Z
dc.date.issued	2015
dc.identifier.citation	The lower bound for the volume of a three-dimensional convex polytope / R. Kawaguchi // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 263-285. — Бібліогр.: 17 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:Primary 52B20; Secondary 14C20, 14J30, 14M25.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/155139
dc.description.abstract	In this paper, we provide a lower bound for the volume of a three-dimensional smooth integral convex polytope having interior lattice points. Our formula has a quite simple form compared with preliminary results. Therefore, we can easily utilize it for other beneficial purposes. Firstly, as an immediate consequence of our lower bound, we obtain a characterization of toric Fano threefold. Besides, we compute the sectional genus of a three-dimensional polarized toric variety, and classify toric Castelnuovo varieties.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	The lower bound for the volume of a three-dimensional convex polytope	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA