53 citations · 239 across the 26 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.DG2015★ 18 cited
Finite time collapsing of the Kähler-Ricci flow on threefolds
Valentino Tosatti, Yuguang Zhang
We show that if on a compact Kahler threefold there is a solution of the Kahler-Ricci flow which encounters a finite time collapsing singularity, then the manifold admits a Fano fi…
math.DG2015★ 2 cited
Degeneration of Ricci-flat Calabi-Yau manifolds and its applications
Yuguang Zhang
This is a survey article of the recent progresses on the metric behaviour of Ricci-flat Kähler-Einstein metrics along degenerations of Calabi-Yau manifolds.
math.DG2015
Collapsing of negative Kähler-Einstein metrics
Yuguang Zhang
In this paper, we study the collapsing behaviour of negative Kähler-Einstein metrics along degenerations of canonical polarized manifolds. We prove that for a toroidal degeneration…