11 citations · 14 across the 4 of their papers we have counts for
7 papers · 1 filter
Derived categories of symmetric products and moduli spaces of vector bundles on a curve
Kyoung-Seog Lee, Han-Bom Moon
We show that the derived categories of symmetric products of a curve are embedded into the derived categories of the moduli spaces of vector bundles of large ranks on the curve. It…
On algebraic space filling curves
Alana Campbell, Flora Dedvukaj, Donald McCormick +2
Poonen and Gabber independently showed that any smooth geometrically irreducible projective scheme over a finite field has a smooth space filling curve, that is, a smooth curve def…
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…
Effective curves on from group actions
Han-Bom Moon, David Swinarski
We study new effective curve classes on the moduli space of stable pointed rational curves given by the fixed loci of subgroups of the permutation group action. We compute their nu…
Mori's program for with symmetric divisors
Han-Bom Moon
We complete Mori's program with symmetric divisors for the moduli space of stable seven pointed rational curves. We describe all birational models in terms of explicit blow-ups and…
Mori's program for with symmetric divisors
Han-Bom Moon
We complete Mori's program with symmetric divisors for the moduli space of stable six pointed rational curves. As an application, we give an alternative proof of the complete Mori'…