2 papers
math.CO2025
Lattice Size in Higher Dimension
Abdulrahman Alajmi, Sayok Chakravarty, Zachary Kaplan +1
The lattice size of a lattice polytope is a geometric invariant which was formally introduced in the context of simplification of the defining equation of an algebraic curve, but a…
math.AG2024
The volume polynomial of lattice polygons
Ivan Soprunov, Jenya Soprunova
We prove that every indefinite quadratic form with non-negative integer coefficients is the volume polynomial of a pair of lattice polygons. This solves the discrete version of the…