5 papers
Intersections of Schubert varieties and smooth -stable subvarieties of flag varieties
Jaehyun Hong, Eunjeong Lee, Seonjeong Park
A smooth projective variety equipped with a suitable torus action admits a cell decomposition, called the Białynicki-Birula decomposition. The singularities of the closures of thes…
Geometry of regular semisimple Lusztig varieties
Patrick Brosnan, Jaehyun Hong, Donggun Lee
Lusztig varieties are subvarieties in flag manifolds associated to an element in the Weyl group and an element in , introduced in Lusztig's papers on character…
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…
Automorphisms and deformations of regular semisimple Hessenberg varieties
Patrick Brosnan, Laura Escobar, Jaehyun Hong +4
We show that regular semisimple Hessenberg varieties can have moduli. To be precise, suppose is a regular semisimple Hessenberg variety of codimension in the flag variety $…
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…