124 citations · 1.4k across the 62 of their papers we have counts for
4 papers · 2 filters
Geometric convergence of the Kähler-Ricci flow on complex surfaces of general type
Bin Guo, Jian Song, Ben Weinkove
We show that on smooth minimal surfaces of general type, the Kähler-Ricci flow starting at any initial Kähler metric converges in the Gromov-Hausdorff sense to a Kähler-Einstein or…
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…
The Kähler-Ricci flow on compact Kähler manifolds
Ben Weinkove
These notes are based on a lecture series given at the Park City Math Institute in the summer of 2013. The notes are intended as a leisurely introduction to the Kähler-Ricci flow o…
Inoue surfaces and the Chern-Ricci flow
Shouwen Fang, Valentino Tosatti, Ben Weinkove +1
We investigate the Chern-Ricci flow, an evolution equation of Hermitian metrics, on Inoue surfaces. These are non-Kahler compact complex surfaces of type Class VII. We show that, a…