15 citations · 83 across the 18 of their papers we have counts for
19 papers
Invariant polynomials and Mukai's models of moduli spaces of curves and K3 surfaces
David Swinarski
Beginning in the 1980s, Mukai introduced birational models of some moduli spaces of curves and some moduli spaces of K3 surfaces. They are defined as geometric invariant theory quo…
The worst destabilizing 1-parameter subgroup for toric rational curves with one unibranch singularity
Joshua Jackson, David Swinarski
Kempf proved that when a point is unstable in the sense of Geometric Invariant Theory, there is a ``worst'' destabilizing 1-parameter subgroup . It is natural to ask: what a…
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…
Some singular curves in Mukai's model of
David Swinarski
Mukai showed that the GIT quotient is a birational model of the moduli space of Deligne-Mumford stable genus 7 curves $\overl…
Equations of Riemann surfaces with automorphisms
David Swinarski
We present an algorithm for computing equations of canonically embedded Riemann surfaces with automorphisms. A variant of this algorithm with many heuristic improvements is used to…
On the -invariant F-conjecture
Han-Bom Moon, David Swinarski
By using classical invariant theory, we reduce the -invariant F-conjecture to a feasibility problem in polyhedral geometry. We show by computer that for , every in…