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math.AG2026
Legendrian families of lines on nilpotent orbit closures
Minseong Kwon
Let be a complex semisimple Lie algebra, and a nilpotent orbit closure in the projectivization . We investigate the space of…
math.AG2026
Sphericality of spaces of conics on homogeneous spaces
Minseong Kwon, Nicolas Perrin
We prove that the Hilbert scheme of conics on , a projective rational homogeneous space with Picard rank one, is -spherical if and only if is associated to a long r…
math.AG2026
Automorphism groups of toroidal horospherical varieties
Lorenzo Barban, DongSeon Hwang, Minseong Kwon
We establish a structure theorem for the connected automorphism groups of smooth complete toroidal horospherical varieties, that is, toric fibrations over rational homogeneous spac…