Minyoung Jeon

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math.AG2026

Disconnectedness of the Hilbert Schemes of $E_{6} / P_{6}$

Minyoung Jeon

In this note, we show that the Hilbert scheme $Hilb_{P_{d, 4} (t)} (E_{6} / P_{6})$ associated with the Hilbert polynomial $P_{d, 4} (t)$ is disconnected by determining that it has exa…

math.AG2026

Nef Cones of Hilbert Schemes of Orthogonal Grassmannians

Minyoung Jeon

We show the number of connected components of the Hilbert scheme of orthogonal Grassmannians under certain condition, and use this result to describe the geometry of the Hilbert sc…

math.AG2026

Irreducible Characteristic Cycles for Orbit Closures of a Symmetric Subgroup

William Graham, Minyoung Jeon, Scott Joseph Larson

Let $G = G L (n)$ and $K = G L (p) \times G L (q)$ with $p + q = n$ , where the groups are taken over $\C$. In this paper we study a certain family of $K$ -orbit closures on the flag variety $…

math.AG2025

Motivic Classes of isotropic degeneracy loci and symmetric orbit closures

Minyoung Jeon

We provide explicit formulas for computing the motivic Chern and Hirzebruch classes of degeneracy loci, especially those coming from the symplectic and odd orthogonal Grassmannians…

math.AG2023

Cohomological rank functions and syzygies of projective bundles on abelian varieties

Minyoung Jeon, Sofia Tirabassi

We use Jiang--Pareschi's cohomological rank functions and techniques developed by Caucci and Ito to study syzygies of projective bundles on abelian varieties. Consequently, we gene…

Disconnectedness of the Hilbert Schemes of E6​/P6​

Nef Cones of Hilbert Schemes of Orthogonal Grassmannians

Irreducible Characteristic Cycles for Orbit Closures of a Symmetric Subgroup

Motivic Classes of isotropic degeneracy loci and symmetric orbit closures

Cohomological rank functions and syzygies of projective bundles on abelian varieties

Disconnectedness of the Hilbert Schemes of $E_{6} / P_{6}$