Articles

A NOTE ON CONICAL KÄHLER-RICCI FLOW ON MINIMAL ELLIPTIC KÄHLER SURFACES

  • Yashan ZHANG
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  • Department of Mathematics, University of Macau, Macau, China

Received date: 2016-11-01

  Revised date: 2017-03-28

  Online published: 2018-02-25

Supported by

The research is partially supported by the Science and Technology Development Fund (Macao S.A.R.), Grant FDCT/016/2013/A1 and the Project MYRG2015-00235-FST of the University of Macau.

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.

Cite this article

Yashan ZHANG . A NOTE ON CONICAL KÄHLER-RICCI FLOW ON MINIMAL ELLIPTIC KÄHLER SURFACES[J]. Acta mathematica scientia, Series B, 2018 , 38(1) : 169 -176 . DOI: 10.1016/S0252-9602(17)30124-8

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