English

A note on conical K\"ahler-Ricci flow on minimal elliptic K\"ahler surfaces

Differential Geometry 2017-08-14 v2

Abstract

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

Keywords

Cite

@article{arxiv.1610.09880,
  title  = {A note on conical K\"ahler-Ricci flow on minimal elliptic K\"ahler surfaces},
  author = {Yashan Zhang},
  journal= {arXiv preprint arXiv:1610.09880},
  year   = {2017}
}

Comments

V2; accepted by Acta Mathematica Scientia, English Series