124 citations · 1.4k across the 62 of their papers we have counts for
4 papers · 2 filters
The Kähler-Ricci flow on projective bundles
Jian Song, Gábor Székelyhidi, Ben Weinkove
We study the behaviour of the Kähler-Ricci flow on projective bundles. We show that if the initial metric is in a suitable Kähler class, then the fibers collapse in finite time and…
Interior derivative estimates for the Kähler-Ricci flow
Morgan Sherman, Ben Weinkove
We give a maximum principle proof of interior derivative estimates for the Kähler-Ricci flow, assuming local uniform bounds on the metric.
Plurisubharmonic functions and nef classes on complex manifolds
Valentino Tosatti, Ben Weinkove
We prove the existence of plurisubharmonic functions with prescribed logarithmic singularities on complex 3-folds equipped with a nef class of positive volume. We prove the same re…
Contracting exceptional divisors by the Kähler-Ricci flow II
Jian Song, Ben Weinkove
We investigate the case of the Kahler-Ricci flow blowing down disjoint exceptional divisors with normal bundle O(-k) to orbifold points. We prove smooth convergence outside the exc…