8 citations · 33 across the 12 of their papers we have counts for
12 papers
Deformation rigidity of the double Cayley Grassmannian
Shin-young Kim, Kyeong-Dong Park
The double Cayley Grassmannian is a unique smooth equivariant completion with Picard number one of the 14-dimensional exceptional complex Lie group , and it parametrizes eight…
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…
K-stability of Gorenstein Fano group compactifications with rank two
Jae-Hyouk Lee, Kyeong-Dong Park, Sungmin Yoo
We give a classification of Gorenstein Fano bi-equivariant compactifications of semisimple complex Lie groups with rank two, and determine which of them are equivariant K-stable an…
Complete intersection hyperkähler fourfolds with respect to equivariant vector bundles over rational homogeneous varieties of Picard number one
Eunjeong Lee, Kyeong-Dong Park
We classify fourfolds with trivial canonical bundle which are zero loci of general global sections of completely reducible equivariant vector bundles over exceptional homogeneous v…
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…
Kähler-Einstein metrics on smooth Fano symmetric varieties with Picard number one
Jae-Hyouk Lee, Kyeong-Dong Park, Sungmin Yoo
Symmetric varieties are normal equivarient open embeddings of symmetric homogeneous spaces, and they are interesting examples of spherical varieties. We prove that all smooth Fano…
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…
On the deformation rigidity of smooth projective symmetric varieties with Picard number one
Shin-Young Kim, Kyeong-Dong Park
Symmetric varieties are normal equivariant open embeddings of symmetric homogeneous spaces and they are interesting examples of spherical varieties. The principal goal of this arti…
On the combinatorics of string polytopes
Yunhyung Cho, Yoosik Kim, Eunjeong Lee +1
For a reduced word of the longest element in the Weyl group of , one can associate the string cone which parametrizes the dual…
Equivariant Ulrich bundles on exceptional homogeneous varieties
Kyoung-Seog Lee, Kyeong-Dong Park
We prove that the only rational homogeneous varieties with Picard number 1 of the exceptional algebraic groups admitting irreducible equivariant Ulrich vector bundles are the Cayle…
Moduli spaces of Ulrich bundles on the Fano 3-fold
Kyoung-Seog Lee, Kyeong-Dong Park
We study moduli spaces of Ulrich bundles of rank on the Fano 3-fold of Picard number 1, degree 5 and index 2. We prove that the moduli space of stable Ulrich bundl…
Standard Embeddings of Smooth Schubert Varieties in Rational Homogeneous Manifolds of Picard Number 1
Shin-Young Kim, Kyeong-Dong Park
Smooth Schubert varieties in rational homogeneous manifolds of Picard number 1 are horospherical varieties. We characterize standard embeddings of smooth Schubert varieties in rati…