The continuity method on minimal elliptic K\"ahler surfaces

Yashan Zhang; Zhenlei Zhang

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The continuity method on minimal elliptic K\"ahler surfaces

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arxiv 1610.07806 v3 pith:KNTNQ4FP submitted 2016-10-25 math.DG

The continuity method on minimal elliptic K\"ahler surfaces

Yashan Zhang , Zhenlei Zhang This is my paper

classification math.DG

keywords ahlermetriccitecontinuityellipticmethodminimaltian

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We prove that, on a minimal elliptic K\"ahler surface of Kodaira dimension one, the continuity method introduced by La Nave and Tian in \cite{LT} starting from any initial K\"ahler metric converges in Gromov-Hausdorff topology to the metric completion of the generalized K\"ahler-Einstein metric on its canonical model constructed by Song and Tian in \cite{ST06}.

The continuity method on minimal elliptic K\"ahler surfaces

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