2 papers
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…
math.AG2023
Newton-Okounkov polytopes of type flag varieties of small ranks arising from cluster structures
Yunhyung Cho, Naoki Fujita, Akihiro Higashitani +1
A flag variety is a smooth projective homogeneous variety. In this paper, we study Newton-Okounkov polytopes of the flag variety arising from its cluster structu…