1 citations · 1 across the 4 of their papers we have counts for
5 papers
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…
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…
On Yau's Theorem for Asymptotically Conical Orbifolds
Mitchell Faulk
A notion of asymptotically conical Kähler orbifold is introduced, and, following previous existence results in the setting of asymptotically conical manifolds, it is shown that a c…
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…
Equal Entries in Totally Positive Matrices
Miriam Farber, Mitchell Faulk, Charles R. Johnson +1
We show that the maximal number of equal entries in a totally positive (resp. totally nonsingular) matrix is (resp. )). Relationships with…