2021/08/29 by Chen, Tianran
#52A39 #52B20 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)
paper · doi:10.48550/arxiv.2108.12875
This note provides a simple proof for the equality between the normalized volume of a convex polytope with m vertices and the mixed volume of m simplices and thus shows the seemingly restrictive problem of computing mixed volume of simplices is still at least as hard as computing volumes of convex polytopes.