42 citations · 97 across the 12 of their papers we have counts for
12 papers
Grothendieck-Plücker images of Hilbert schemes are degenerate
Donghoon Hyeon, Hyungju Park
We study the decompositions of Hilbert schemes induced by the Schubert cell decomposition of the Grassmannian variety and show that Hilbert schemes admit a stratification into loca…
Note on the decomposition of states
Donghoon Hyeon, Jaekwang Kim
We derive a sharp decomposition formula for the state polytope of the Hilbert point and the Hilbert-Mumford index of reducible varieties by using the decomposition of characters an…
Generic states and stability
Donghoon Hyeon, Junyoung Park
We define the notion of the generic state polytope, analogous to the generic initial ideal and prove its existence: This greatly generalizes the work of Römer and Schmitz who prove…
Conjugacy classes of commuting nilpotents
William Haboush, Donghoon Hyeon
We consider the space of regular -tuples of commuting nilpotent endomorphisms of modulo simultaneous conjugation. We show that admits…
A State Polytope Decomposition Formula
Donghoon Hyeon, Jaekwang Kim
We give a decomposition formula for computing the state polytope of a reducible variety in terms of the state polytopes of its components.
GIT Constructions of Log Canonical Models of M_g
Jarod Alper, Donghoon Hyeon
The purpose of this article is to give an overview of the construction of moduli spaces of curves from the viewpoint of the log minimal model program for M_g by providing an update…