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Moduli spaces of weighted pointed stable rational curves via GIT

- Y. Kiem, Han-Bom Moon
- Mathematics
- 12 February 2010

We construct moduli spaces of weighted pointed stable rational curves M0;n with symmetric weight data by the GIT quotient of moduli spaces of weighted pointed stable maps M0;n (P 1 ;1). As a… Expand

Chow ring of the moduli space of stable sheaves supported on quartic curves

- K. Chung, Han-Bom Moon
- Mathematics
- 31 May 2015

Motivated by the computation of the BPS-invariants on a local Calabi-Yau threefold suggested by S. Katz, we compute the Chow ring and the cohomology ring of the moduli space of stable sheaves of… Expand

Log canonical models for the moduli space of stable pointed rational curves

- Han-Bom Moon
- Mathematics
- 17 July 2013

We run Mori’s program for the moduli space of stable pointed rational curves with divisor K + ∑ aiψi. We prove that the birational model for the pair is either the Hassett space of weighted pointed… Expand

On the $S_n$-invariant F-conjecture

- Han-Bom Moon, David Swinarski
- Mathematics
- 7 June 2016

By using classical invariant theory, we reduce the $S_{n}$-invariant F-conjecture to a feasibility problem in polyhedral geometry. We show by computer that for $n \le 19$, every integral… Expand

Birational geometry of the moduli space of pure sheaves on quadric surface

- K. Chung, Han-Bom Moon
- Mathematics
- 1 March 2017

Abstract We study birational geometry of the moduli space of stable sheaves on a quadric surface with Hilbert polynomial 5 m + 1 and c 1 = ( 2 , 3 ) . We describe a birational map between the moduli… Expand

Moduli of sheaves, Fourier–Mukai transform, and partial desingularization

- K. Chung, Han-Bom Moon
- Mathematics
- 30 October 2014

We study birational maps among (1) the moduli space of semistable sheaves of Hilbert polynomial $$4m+2$$4m+2 on a smooth quadric surface, (2) the moduli space of semistable sheaves of Hilbert… Expand

Equations for point configurations to lie on a rational normal curve

- A. Caminata, N. Giansiracusa, Han-Bom Moon, L. Schaffler
- Mathematics
- 16 November 2017

The parameter space of n ordered points in projective d-space that lie on a rational normal curve admits a natural compactification by taking the Zariski closure in $(\mathbb{P}^d)^n$. The resulting… Expand

GIT Compactifications of M_{0,n} and Flips

- N. Giansiracusa, D. Jensen, Han-Bom Moon
- Mathematics
- 1 December 2011

We use geometric invariant theory (GIT) to construct a large class of compactifications of the moduli space M_{0,n}. These compactifications include many previously known examples, as well as many… Expand

A family of divisors on M¯g,n and their log canonical models

- Han-Bom Moon
- Mathematics
- 1 October 2015

We prove a formula of log canonical models for moduli stack M¯g,n of pointed stable curves which describes all Hassett's moduli spaces of weighted pointed stable curves in a single equation. This is… Expand

VERONESE QUOTIENT MODELS OF M0;n AND CONFORMAL BLOCKS

- A. Gibney, D. Jensen, Han-Bom Moon, David Swinarski
- Mathematics
- 1 December 2013

The moduli space M0;n of Deligne-Mumford stable n-pointed rational curves admits morphisms to spaces recently constructed by Giansiracusa, Jensen, and Moon that we call Veronese quotients. We study… Expand

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