3 papers
math.CO2026
Indecomposability of 0/1-polytopes
Akihiro Higashitani, Arnau Padrol, Raman Sanyal
We prove that every 0/1-polytope has a unique Minkowski decomposition into indecomposable polytopes, up to translation of summands. The summands lie in pairwise orthogonal subspace…
math.CO2026
Imprimitive association schemes and elimination theory
Akihiro Higashitani, Hirotake Kurihara
We prove that a commutative association scheme is imprimitive if and only if it admits a multivariate - or -polynomial structure with respect to an elimination-type monomial…
math.AG2026
Polyptych lattices and marked chain-order polytopes
Naoki Fujita, Akihiro Higashitani
The theory of polyptych lattices is a framework to obtain a family of toric degenerations whose polytopes are related by piecewise-linear transformations. It can be regarded as a g…