3 papers
math.DG2022
Hermitian-Einstein metrics on stable vector bundles over compact Kähler orbifolds
Mitchell Faulk
For a holomorphic vector bundle over a compact Kähler orbifold, the slope stability of the bundle is shown to be equivalent to the existence of a Hermitian-Einstein metric or to th…
math.AG2021
Embedding Deligne-Mumford stacks into GIT quotient stacks of linear representations
Mitchell Faulk, Chiu-Chu Melissa Liu
We study how to use a suitably ample locally free sheaf over a proper Deligne-Mumford stack to furnish an embedding of the stack into a geometric invariant theory (GIT) quotient st…
math.CV2017
On Yau's theorem for effective orbifolds
Mitchell Faulk
In 1978, Yau confirmed a conjecture due to Calabi stating the existence of Kähler metrics with prescribed Ricci forms on compact Kähler manifolds. A version of this statement for e…