Shin-young Kim

activity

20192026

collaborators

5 papers

math.DG2026

Orbifold Bergman Kernels

Julius Ross, Shin Kim

Let $(X, ω)$ be a compact $n$ -dimensional Kähler orbifold, the stabilizer groups of which are abelian and have rank at most two. Let $E$ be an orbi-ample vector bundle of rank…

math.CV2025

Higher Rank Bergman Kernels on Compact Riemann Surfaces

Shin Kim

Let X be a compact Riemann surface equipped with a real-analytic Kähler form $ω$ and let E be a holomorphic vector bundle over $X$ equipped with a real-analytic Hermitian metric $h…

math.AG2024

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 $T$ . Schubert varieties are $T$ -invariant subvarieties of the partial flag…

math.AG2023

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 $G_{2}$ , and it parametrizes eight…

math.AG2019

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…