Let $K$ be a convex lattice set in $mathbb{Z}^n$ containing the origin as the interior of its convex hull. In this paper, the definition of the polar of a convex lattice set $K$ is given both in $mathbb{Q}^n$ and $mathbb{Z}^n$. Some properties and inequalities about the convex lattice sets and their polar are established.
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机译：让$ k $是一个凸形格子设置在$ mathbb {z} ^ n $中，包含作为其凸船体的内部的原点。在本文中，在$ mathbb {q} ^ n $和$ mathbb {z} ^ n $中给出了凸晶片套装$ k $的定义。建立了关于凸晶片套的一些性质和不等式及其极性。
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