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math.CO2018
Enumeration of lattice polytopes by their volume
Gabriele Balletti
A well known result by Lagarias and Ziegler states that there are finitely many equivalence classes of d-dimensional lattice polytopes having volume at most K, for fixed constants…
math.AG2018
K3 Polytopes and their Quartic Surfaces
Gabriele Balletti, Marta Panizzut, Bernd Sturmfels
K3 polytopes appear in complements of tropical quartic surfaces. They are dual to regular unimodular central triangulations of reflexive polytopes in the fourth dilation of the sta…