A Product Formula for the Normalized Volume of Free Sums of Lattice Polytopes
A Product Formula for the Normalized Volume of Free Sums of Lattice Polytopes
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晶格多面体自由和归一化体积的乘积公式
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
Robert Davis
中科院分区：
文献类型：
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作者：
Tianran Chen;Robert Davis
自由和是凸多面体之间的一种基本几何运算。本文重点关注自由和的归一化体积与被加项的归一化体积之间的关系。特别地，我们证明了全维多面体自由和的归一化体积恰好是被加项归一化体积的乘积。
The free sum is a basic geometric operation among convex polytopes. This note focuses on the relationship between the normalized volume of the free sum and that of the summands. In particular, we show that the normalized volume of the free sum of full dimensional polytopes is precisely the product of the normalized volumes of the summands.