Minseong Kwon

activity

20242026

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5 papers · 1 filter

math.AG2026

Legendrian families of lines on nilpotent orbit closures

Minseong Kwon

Let $g$ be a complex semisimple Lie algebra, and $Z$ a nilpotent orbit closure in the projectivization $P (g)$ . 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 $X = G / P$ , a projective rational homogeneous space with Picard rank one, is $G$ -spherical if and only if $P$ 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…

math.AG2025

Local structure of the Hilbert scheme of conics in quintic del Pezzo varieties

Kiryong Chung, Bomyeong Kim, Minseong Kwon

Let $X$ be the quintic del Pezzo $4$ -fold. It is very well-known that $X$ is realized by a smooth linear section of Grassmannian $Gr (2, 5)$ . In this paper, we prove that th…

math.AG2025

Algebraic hyperbolicity of adjoint linear systems on spherical varieties

Minseong Kwon, Haesong Seo

Moraga and Yeong conjectured that for a smooth complex projective variety $X$ of dimension $n$ , an ample line bundle $A$ on $X$ and an integer $m \geq 3 n + 1$ , very general element…