A note on conical Kähler-Ricci flow on minimal elliptic Kähler surfaces

Abstract

We prove that, under a semi-ampleness type assumption on the twisted canonical line bundle, the conical Kähler-Ricci flow on a minimal elliptic Kähler surface converges in the sense of currents to a generalized conical Kähler-Einstein on its canonical model. Moreover, the convergence takes place smoothly outside the singular fibers and the chosen divisor.

V2; accepted by Acta Mathematica Scientia, English Series

References in corpus (2)

• KAWA lecture notes on the Kähler-Ricci flow
• The Ricci flow on the sphere with marked points

Cited by in corpus (1)

• Metric contraction of the cone divisor by the conical Kähler-Ricci flow