75 citations · 334 across the 43 of their papers we have counts for
4 papers · 1 filter
Sasaki-Einstein metrics and K-stability
Tristan C. Collins, Gábor Székelyhidi
We show that a polarized affine variety admits a Ricci flat Kähler cone metric, if and only if it is K-stable. This generalizes Chen-Donaldson-Sun's solution of the Yau-Tian-Donald…
A singular Demailly-Paun theorem
Tristan C. Collins, Valentino Tosatti
We give a numerical characterization of the Kahler cone of a possibly singular compact analytic variety which is embedded in a smooth ambient space.
(1,1) forms with specified Lagrangian phase: A priori estimates and algebraic obstructions
Tristan C. Collins, Adam Jacob, Shing-Tung Yau
Let be a Kähler manifold of dimension n, and let . We study the problem of specifying the Lagrangian phase of with respect to , which…
estimates for nonlinear elliptic equations of twisted type
Tristan C. Collins
We prove a priori interior estimates for solutions of fully nonlinear elliptic equations of twisted type. For example, our estimates apply to equations of the type convex…