4 citations · 14 across the 15 of their papers we have counts for
12 papers · 1 filter
Simplicity of tangent bundles on the moduli spaces of symplectic and orthogonal bundles over a curve
Insong Choe, George H. Hitching, Jaehyun Hong
The variety of minimal rational tangents associated to Hecke curves was used by J.-M.Hwang [8] to prove the simplicity of the tangent bundle on the moduli of vector bundles over a…
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…
Simplicity of tangent bundles of smooth horospherical varieties of Picard number one
Jaehyun Hong
Recently, Kanemitsu has discovered a counterexample to the long-standing conjecture that the tangent bundle of a Fano manifold of Picard number one is (semi)stable. His counterexam…
Permutation module decomposition of the second cohomology of a regular semisimple Hessenberg variety
Soojin Cho, Jaehyun Hong, Eunjeong Lee
Regular semisimple Hessenberg varieties admit actions of associated Weyl groups on their cohomology space of each degree. In this paper, we consider the module structure of the coh…
Bases of the equivariant cohomologies of regular semisimple Hessenberg varieties
Soojin Cho, Jaehyun Hong, Eunjeong Lee
We consider bases for the cohomology space of regular semisimple Hessenberg varieties, consisting of the classes that naturally arise from the Bialynicki-Birula decomposition of th…
Schur rigidity of Schubert varieties in rational homogeneous manifolds of Picard number one
Jaehyun Hong, Ngaiming Mok
Given a rational homogeneous manifold of Picard number one and a Schubert variety of , the pair is said to be homologically rigid if any subvariety of $…