2 papers
math.CO2025
Is there a smooth lattice polytope which does not have the integer decomposition property?
Johannes Hofscheier, Alexander Kasprzyk
We introduce Tadao Oda's famous question on lattice polytopes which was originally posed at Oberwolfach in 1997 and, although simple to state, has remained unanswered. The question…
math.CO2024
Classification and Ehrhart Theory of Denominator 2 Polygons
Girtrude Hamm, Johannes Hofscheier, Alexander Kasprzyk
We present an algorithm for growing the denominator polygons containing a fixed number of lattice points and enumerate such polygons containing few lattice points for small …