6 citations · 18 across the 11 of their papers we have counts for
12 papers
Orbifold Bergman Kernels
Julius Ross, Shin Kim
Let be a compact -dimensional Kähler orbifold, the stabilizer groups of which are abelian and have rank at most two. Let be an orbi-ample vector bundle of rank…
Higher Rank Bergman Kernels on Compact Riemann Surfaces
Shin Kim
Let X be a compact Riemann surface equipped with a real-analytic Kähler form and let E be a holomorphic vector bundle over equipped with a real-analytic Hermitian metric $h…
Gorenstein toric Schubert varieties in Grassmannians
Shin-young Kim, Eunjeong Lee
A partial flag variety is a smooth projective homogeneous variety admitting an action of a maximal torus . Schubert varieties are -invariant subvarieties of the partial flag…
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…
Diagrams for varieties of minimal rational tangents on the wonderful symmetric varieties
Shin-young Kim
We describe varieties of minimal rational tangents on the wonderful symmetric varieties by marked Dynkin diagrams. An irreducible component of a variety of minimal rational tangent…
Minimal rational curves on complete symmetric varieties
Michel Brion, Shin-young Kim, Nicolas Perrin
We describe the families of minimal rational curves on any complete symmetric variety, and the corresponding varieties of minimal rational tangents (VMRT). In particular, we prove…
Characterizations of smooth projective horospherical varieties of Picard number one
Jaehyun Hong, Shin-young Kim
Let be a smooth projective horospherical variety of Picard number one. We show that a uniruled projective manifold of Picard number one is biholomorphic to if its variety o…
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…
Infinitesimal symmetries of weakly pseudoconvex manifolds
Shin-Young Kim, Martin Kolar
We classify the Lie algebras of infinitesimal CR automorphisms of weakly pseudoconvex hypersurfaces of finite multitype in . In particular, we prove that such manifold…
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…
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…
Geometric structures modeled on smooth projective horospherical varieties of Picard number one
Shin-young Kim
Geometric structures modeled on rational homogeneous manifolds are studied to characterize rational homogeneous manifolds and to prove their deformation rigidity. To generalize the…