16 citations · 34 across the 3 of their papers we have counts for
5 papers
Long time existence of the (n-1)-plurisubharmonic flow
Matthew Gill
We consider the (n-1)-plurisubharmonic flow, suggested by Tosatti-Weinkove, and prove a formula for its maximal time of existence. This includes estimates that will be useful in fu…
The behavior of Chern scalar curvature under Chern-Ricci flow
Matthew Gill, Daniel J Smith
In this note we study finite-time singularities in the Chern-Ricci flow. We show that finite-time singularities are characterized by the blow-up of the scalar curvature of the Cher…
The Chern-Ricci flow on smooth minimal models of general type
Matthew Gill
We show that on a smooth Hermitian minimal model of general type the Chern-Ricci flow converges to a closed positive current on M. Moreover, the flow converges smoothly to a Kahler…
Collapsing of Products Along the Kähler-Ricci Flow
Matthew Gill
Let where is an -dimensional Kähler manifold with negative first Chern class and is an -dimensional complex torus. We obtain convergence o…
Convergence of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds
Matt Gill
We prove convergence for suitably normalized solutions of the parabolic complex Monge-Ampère equation on compact Hermitian manifolds. This provides a parabolic proof of…