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4 papers
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…
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…
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…
Universal inequalities in Ehrhart Theory
Gabriele Balletti, Akihiro Higashitani
In this paper, we show the existence of universal inequalities for the -vector of a lattice polytope P, that is, we show that there are relations among the coefficients of the…