Yunhyung Cho

collaborators

3 papers

math.AG2023

Newton-Okounkov polytopes of type $A$ 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 $F l (C^{4})$ arising from its cluster structu…

math.AG2023

$c_{1}$ -cohomological rigidity for smooth toric Fano varieties of Picard number two

Yunhyung Cho, Eunjeong Lee, Mikiya Masuda +1

The $c_{1}$ -cohomological rigidity conjecture states that two smooth toric Fano varieties are isomorphic as varieties if there is a $c_{1}$ -preserving isomorphism between their integra…

math.SG2014

Unimodality of the Betti numbers for Hamiltonian circle actions with index-increasing moment maps

Yunhyung Cho

The unimodality conjecture posed by Tolman in the conference `Moment maps in Various Geometry" in 2005 states that if (M,w) is a 2n-dimensional smooth compact symplectic manifold e…

Newton-Okounkov polytopes of type A flag varieties of small ranks arising from cluster structures

c1​-cohomological rigidity for smooth toric Fano varieties of Picard number two

Unimodality of the Betti numbers for Hamiltonian circle actions with index-increasing moment maps

Newton-Okounkov polytopes of type $A$ flag varieties of small ranks arising from cluster structures

$c_{1}$ -cohomological rigidity for smooth toric Fano varieties of Picard number two