2 papers
math.MG2025
On the Unimodular Isomorphism Problem of Convex Lattice Polytopes
Qiuyue Liu, Zhanyuan Cai
This paper studies the \emph{unimodular isomorphism problem} (UIP) of convex lattice polytopes: given two convex lattice polytopes and , decide whether there exists a unimo…
math.MG2024
On the classification of lattice polytopes via affine equivalence
Zhanyuan Cai, Yuqin Zhang, Qiuyue Liu
In 1980, V. I. Arnold studied the classification problem for convex lattice polygons of a given area. Since then, this problem and its analogues have been studied by many authors,…