11 citations · 49 across the 27 of their papers we have counts for
26 papers · 1 filter
Computation of GIT quotients of semisimple groups
Patricio Gallardo, Jesus Martinez-Garcia, Han-Bom Moon +1
We describe three algorithms to determine the stable, semistable, and torus-polystable loci of the GIT quotient of a projective variety by a reductive group. The algorithms are eff…
Determinantal varieties from point configurations on hypersurfaces
Alessio Caminata, Han-Bom Moon, Luca Schaffler
We consider the scheme parametrizing ordered points in projective space that lie on a common hypersurface of degree . We show that this scheme has…
Derived category and ACM bundles of moduli space of vector bundles on a curve
Kyoung-Seog Lee, Han-Bom Moon
We show that the derived category of a curve is embedded into the derived category of the moduli space of vector bundles on the curve of coprime rank and degree. We also generalize…
Positivity of the Poincaré bundle on the moduli space of vector bundles and its applications
Kyoung-Seog Lee, Han-Bom Moon
We prove that the normalized Poincaré bundle on the moduli space of stable rank vector bundles with a fixed determinant on a smooth projective curve induces a family of nef…
Point configurations, phylogenetic trees, and dissimilarity vectors
Alessio Caminata, Noah Giansiracusa, Han-Bom Moon +1
In 2004 Pachter and Speyer introduced the higher dissimilarity maps for phylogenetic trees and asked two important questions about their relation to the tropical Grassmannian. Mult…
Finite generation of the algebra of type A conformal blocks via birational geometry II: higher genus
Han-Bom Moon, Sang-Bum Yoo
We prove finite generation of the algebra of type A conformal blocks over arbitrary stable curves of any genus. As an application we construct a flat family of irreducible normal p…