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

• Date: 2016
• Main Author: Kawaguchi, Ryo
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2016
• Subjects: Lattice polytopes; polarized varieties; toric varieties; sectional genus; 52B20; 14C20; 14J30; 14M25
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/15
• Journal Title: Algebra and Discrete Mathematics

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 immed...