2025/12/21 by Hofscheier, Johannes, Kasprzyk, Alexander
Computer Science · Mathematics · #13H10 #14M25 #52B20 (primary) #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #History and Overview (math.HO) #Point processes and geometric inequalities
paper · doi:10.48550/arxiv.2512.20680
openalex publication_date 2025/12/21 · openalex created_date 2025/12/24 · openalex updated_date 2026/07/28
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 is motivated by a discussion of the two-dimensional case - including a proof of Pick's Theorem, which elegantly relates the area of a lattice polygon to the number of lattice points it contains in its interior and on its boundary.