The continuity method on minimal elliptic K\"ahler surfaces
Differential Geometry
2017-08-15 v3
Abstract
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}.
Cite
@article{arxiv.1610.07806,
title = {The continuity method on minimal elliptic K\"ahler surfaces},
author = {Yashan Zhang and Zhenlei Zhang},
journal= {arXiv preprint arXiv:1610.07806},
year = {2017}
}
Comments
V3, small changes, accepted by International Mathematics Research Notices