The lower bound for the volume of a three-dimensional convex polytope
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The lower bound for the volume of a three-dimensional convex polytope
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| Creator |
Kawaguchi, R.
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| Description |
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.
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| Date |
2019-06-16T09:40:36Z
2019-06-16T09:40:36Z 2015 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2010 MSC:Primary 52B20; Secondary 14C20, 14J30, 14M25. http://dspace.nbuv.gov.ua/handle/123456789/155139 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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