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math.AG2025
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…
math.AG2025
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…
math.AG2024
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 $…