A Product Formula for the Normalized Volume of Free Sums of Lattice Polytopes

13 Mar 2019 · Chen Tianran, Davis Robert ·

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.