90 citations · 296 across the 14 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.DG2015★ 75 cited
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…
math.AP2015★ 1 cited
On a constant rank theorem for nonlinear elliptic PDEs
Gábor Székelyhidi, Ben Weinkove
We give a new proof of Bian-Guan's constant rank theorem for nonlinear elliptic equations. Our approach is to use a linear expression of the eigenvalues of the Hessian instead of q…
math.DG2015★ 90 cited
Gauduchon metrics with prescribed volume form
Gábor Székelyhidi, Valentino Tosatti, Ben Weinkove
We prove that on any compact complex manifold one can find Gauduchon metrics with prescribed volume form. This is equivalent to prescribing the Chern-Ricci curvature of the metrics…