3 papers
math.MG2020
Inequalities between mixed volumes of convex bodies: volume bounds for the Minkowski sum
Gennadiy Averkov, Christopher Borger, Ivan Soprunov
In the course of classifying generic sparse polynomial systems which are solvable in radicals, Esterov recently showed that the volume of the Minkowski sum of -d…
math.CO2019
Families of lattice polytopes of mixed degree one
Gabriele Balletti, Christopher Borger
It has been shown by Soprunov that the normalized mixed volume (minus one) of an -tuple of -dimensional lattice polytopes is a lower bound for the number of interior lattice…
math.CO2019
Classification of triples of lattice polytopes with a given mixed volume
Gennadiy Averkov, Christopher Borger, Ivan Soprunov
We present an algorithm for the classification of triples of lattice polytopes with a given mixed volume in dimension 3. It is known that the classification can be reduced to t…