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

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Abstract We prove that, under a semi-ampleness type assumption on the twisted canonical line bundle, the conical Kahler-Ricci flow on a minimal elliptic Kahler surface converges in the sense of… Click to show full abstract

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

Keywords: hler; minimal elliptic; flow minimal; ricci flow

Journal Title: Acta Mathematica Scientia
Year Published: 2018

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