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Moduli spaces of weighted pointed stable rational curves via GIT
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 aExpand
Chow ring of the moduli space of stable sheaves supported on quartic curves
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 ofExpand
Log canonical models for the moduli space of stable pointed rational curves
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 pointedExpand
On the $S_n$-invariant F-conjecture
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 integralExpand
Birational geometry of the moduli space of pure sheaves on quadric surface
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 moduliExpand
Moduli of sheaves, Fourier–Mukai transform, and partial desingularization
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 HilbertExpand
Equations for point configurations to lie on a rational normal curve
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 resultingExpand
GIT Compactifications of M_{0,n} and Flips
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 manyExpand
A family of divisors on M¯g,n and their log canonical models
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 isExpand
VERONESE QUOTIENT MODELS OF M0;n AND CONFORMAL BLOCKS
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 studyExpand
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