12 citations · 51 across the 25 of their papers we have counts for
17 papers · 1 filter
Kähler-Einstein metrics on smooth Fano toroidal symmetric varieties of type AIII
Kyusik Hong, DongSeon Hwang, Kyeong-Dong Park
The wonderful compactification of a symmetric homogeneous space of type AIII for each is Fano, and its blowup along the unique closed orbit is Fano if…
Greatest Ricci lower bounds of projective horospherical manifolds of Picard number one
DongSeon Hwang, Shin-young Kim, Kyeong-Dong Park
A horospherical variety is a normal -variety such that a connected reductive algebraic group acts with an open orbit isomorphic to a torus bundle over a rational homogeneous…
W-translated Schubert divisors and transversal intersections
DongSeon Hwang, Hwayoung Lee, Jae-Hyouk Lee +1
We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety of Lie type A via Gelfand-Cetlin polytopes. We propose a conjecture that Schube…
Algebraic Montgomery-Yang problem and cascade conjecture
DongSeon Hwang
The conjecture called algebraic Montgomery-Yang problem is still open for rational -homology projective planes with cyclic quotient singularities having ample canonical…
Cascades of toric log del Pezzo surfaces of Picard number one
DongSeon Hwang
We classify toric log del Pezzo surfaces of Picard number one by introducing the notion, cascades. As an application, we show that if such a surface is Kähler-Einstein, then it sho…
On Barycentric transformations of Fano polytopes
DongSeon Hwang, Yeonsu Kim
We introduce the notion of barycentric transformation of Fano polytopes, from which we can assign a certain type to each Fano polytope. The type can be viewed as a measure of the e…