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A product formula for the normalized volume of free sums of Lattice polytopes

Springer Proceedings in Mathematics and Statistics (2019) 277 111-119
DOI: 10.1007/978-3-030-11521-0_6
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Abstract

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.

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Chen, T., & Davis, R. (2019). A product formula for the normalized volume of free sums of Lattice polytopes. In Springer Proceedings in Mathematics and Statistics (Vol. 277, pp. 111–119). Springer New York LLC. https://doi.org/10.1007/978-3-030-11521-0_6

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