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

2016/10/31 by Zhang, Yashan
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.09880

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.

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