4 citations · 4 across the 3 of their papers we have counts for
5 papers · 1 filter
Calabi-Yau metrics with cone singularities along intersecting complex lines: the unstable case
Martin de Borbon, Gregory Edwards
We produce local Calabi-Yau metrics on with conical singularities along three or more complex lines through the origin whose cone angles strictly violate the Troyanov…
Schauder estimates on products of cones
Martin de Borbon, Gregory Edwards
We prove an interior Schauder estimate for the Laplacian on metric products of two dimensional cones with a Euclidean factor, generalizing the work of Donaldson and reproving the S…
The Chern-Ricci flow on primary Hopf surfaces
Gregory Edwards
The Hopf surfaces provide a family of minimal non-Kähler surfaces of class VII on which little is known about the Chern-Ricci flow. We use a construction of Gauduchon-Ornea for loc…
Metric contraction of the cone divisor by the conical Kähler-Ricci flow
Gregory Edwards
We use the momentum construction of Calabi to study the conical Kähler-Ricci flow on Hirzebruch surfaces with cone angle along the exceptional curve, and show that either the flow…
A scalar curvature bound along the conical Kähler-Ricci flow
Gregory Edwards
Starting with a model conical Kähler metric, we prove a uniform scalar curvature bound for solutions to the conical Kähler-Ricci flow assuming a semi-ampleness type condition on th…