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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…
math.AG2023
-cohomological rigidity for smooth toric Fano varieties of Picard number two
Yunhyung Cho, Eunjeong Lee, Mikiya Masuda +1
The -cohomological rigidity conjecture states that two smooth toric Fano varieties are isomorphic as varieties if there is a -preserving isomorphism between their integra…
math.CO2023
On combinatorics of string polytopes in types and
Yunhyung Cho, Naoki Fujita, Eunjeong Lee
A string polytope is a rational convex polytope whose lattice points parametrize a highest weight crystal basis, which is obtained from a string cone by explicit affine inequalitie…