11 citations · 47 across the 48 of their papers we have counts for
3 papers · 2 filters
Generalized flatness constants, spanning lattice polytopes, and the Gromov width
Gennadiy Averkov, Johannes Hofscheier, Benjamin Nill
In this paper we motivate some new directions of research regarding the lattice width of convex bodies. We show that convex bodies of sufficiently large width contain a unimodular…
A local maximizer for lattice width of -dimensional hollow bodies
Gennadiy Averkov, Giulia Codenotti, Antonio Macchia +1
The second and fourth authors have conjectured that a certain hollow tetrahedron of width attains the maximum lattice width among all three-dimensional convex bodies…
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…