26 citations · 70 across the 33 of their papers we have counts for
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Mutation of Fano Simplices and Markov type equations
Yunhyung Cho
It is well known that there is a bijective correspondence between the set of positive integer solutions to the Markov equation and the set of Fano triangles mutation equivalent to…
Newton--Okounkov bodies of partial flag varieties via cluster algebras
Yunhyung Cho, Myungho Kim, Yoosik Kim +1
We construct Newton--Okounkov polytopes of Schubert varieties in partial flag varieties of arbitrary type using the cluster structure on a unipotent cell. When the governing cluste…
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…
-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…
On the enumeration of Fano Bott manifolds
Yunhyung Cho, Eunjeong Lee, Mikiya Masuda +1
Fano Bott manifolds bijectively correspond to signed rooted forests with some equivalence relation. Using this bijective correspondence, we enumerate the isomorphism classes of Fan…
Small toric resolutions of toric varieties of string polytopes with small indices
Yunhyung Cho, Yoosik Kim, Eunjeong Lee +1
Let be a semisimple algebraic group over . For a reduced word of the longest element in the Weyl group of and a dominant integral weight , one can co…