4 papers
math.AG2026
Disconnectedness of the Hilbert Schemes of
Minyoung Jeon
In this note, we show that the Hilbert scheme associated with the Hilbert polynomial 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 and with , where the groups are taken over $\C$. In this paper we study a certain family of -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…