Shin-young Kim

collaborators

4 papers

math.DG2026

Orbifold Bergman Kernels

Julius Ross, Shin Kim

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

math.CV2025

Higher Rank Bergman Kernels on Compact Riemann Surfaces

Shin Kim

Let X be a compact Riemann surface equipped with a real-analytic KÃ¤hler form $I ¨ $ and let E be a holomorphic vector bundle over $X$ equipped with a real-analytic Hermitian metric…

math.AG2025

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…

math.AG2025

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…