Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Hyeon, Donghoon"'
Autor:
Hyeon, Donghoon, Park, Hyungju
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 locally closed subschemes along which the generic initial ideals remain th
Externí odkaz:
http://arxiv.org/abs/1703.02703
Autor:
Hyeon, Donghoon, Park, Junyoung
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 R\"omer and Schmitz who proved the existence of generic Gr\"ober fans. We also show that a generi
Externí odkaz:
http://arxiv.org/abs/1703.02697
Autor:
Hyeon, Donghoon, Kim, Jaekwang
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 and basic convex geometry. This proof captures the essence of the decomp
Externí odkaz:
http://arxiv.org/abs/1703.02699
Autor:
Haboush, William, Hyeon, Donghoon
We consider the space $\mathcal M_{q,n}$ of regular $q$-tuples of commuting nilpotent endomorphisms of $k^n$ modulo simultaneous conjugation. We show that $\mathcal M_{q,n}$ admits a natural homogeneous space structure, and that it is an affine space
Externí odkaz:
http://arxiv.org/abs/1606.09625
Autor:
Hyeon, Donghoon, Kim, Jaekwang
We give a decomposition formula for computing the state polytope of a reducible variety in terms of the state polytopes of its components.
Externí odkaz:
http://arxiv.org/abs/1304.0218
Autor:
Alper, Jarod, Hyeon, Donghoon
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 of recent developments and discussing future problems. This survey is
Externí odkaz:
http://arxiv.org/abs/1109.2173
Autor:
Hyeon, Donghoon
Hassett and Keel predicted that there is a descending sequence of critical $\alpha$ values where the log canonical model for the moduli space of stable curves with respect to $\alpha \delta$ changes. We derive a conjectural formula for the critical v
Externí odkaz:
http://arxiv.org/abs/1006.1094
Autor:
Hyeon, Donghoon, Lee, Yongnam
We show that for $\alpha \in (2/3, 7/10)$, the log canonical model $\bar M_4(\alpha)$ of the pair $(\bar M_4, \alpha \delta)$ is isomorphic to the moduli space $\bar M_4^{hs}$ of h-semistable curves, and that there is a birational morphism $\Xi: \bar
Externí odkaz:
http://arxiv.org/abs/1003.3973
Autor:
Hassett, Brendan, Hyeon, Donghoon
We give a geometric invariant theory (GIT) construction of the log canonical model $\bar M_g(\alpha)$ of the pairs $(\bar M_g, \alpha \delta)$ for $\alpha \in (7/10 - \epsilon, 7/10]$ for small $\epsilon \in \mathbb Q_+$. We show that $\bar M_g(7/10)
Externí odkaz:
http://arxiv.org/abs/0806.3444
Autor:
Hyeon, Donghoon, Morrison, Ian
We show that the GIT quotients of suitable loci in the Hilbert and Chow schemes of 4-canonically embedded curves of genus $g\ge 3$ are the moduli space $\bar{M}_g^{\text{ps}}$ of pseudo-stable curves constructed by Schubert in \cite{Schubert} using C
Externí odkaz:
http://arxiv.org/abs/0806.1269