From the 1 of 4 linked papers with an AI index.
4 papers
Geometry of regular semisimple Lusztig varieties
Patrick Brosnan, Jaehyun Hong, Donggun Lee
The paper investigates Lusztig varieties in flag manifolds for regular semisimple elements, proving they are normal, Cohen‑Macaulay, have rational singularities, and satisfy cohomo…
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 $…
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…
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…