3 papers
math.AG2025
Intersections of Schubert varieties and smooth -stable subvarieties of flag varieties
Jaehyun Hong, Eunjeong Lee, Seonjeong Park
A smooth projective variety with an action of a torus admits a cell decomposition, called the Bialynicki-Birula decomposition. Singularities of the closures of these cells are not…
math.DG2024
Generalized Tanaka prolongation and convergence of formal equivalence between embeddings
Jaehyun Hong, Jun-Muk Hwang
The works of Commichau--Grauert and Hirschowitz showed that a formal equivalence between embeddings of a compact complex manifold is convergent, if the embeddings have sufficiently…
math.CV2023
Ampleness of normal bundles of base cycles in flag domains
Jaehyun Hong, Aeryeong Seo
Flag domains are open orbits of noncompact real forms of complex semisimple Lie groups acting on flag manifolds. To each flag domain one can associate a compact complex manifold ca…