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arXiv · 1603.09131

On complete constant scalar curvature K\"ahler metrics with Poincar\'e-Mok-Yau asymptotic property

Jixiang Fu·Shing-Tung Yau·Wubin Zhou
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Abstract

Let $X$ be a compact K\"ahler manifold and $S$ a subvariety of $X$ with higher co-dimension. The aim is to study complete constant scalar curvature K\"ahler metrics on non-compact K\"ahler manifold $X-S$ with Poincar\'e--Mok--Yau asymptotic property (see Definition \ref{def}). In this paper, the methods of Calabi's ansatz and the moment construction are used to provide some special examples of such metrics.

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Jixiang Fu, Shing-Tung Yau, Wubin Zhou. 2016-03-30. On complete constant scalar curvature K\"ahler metrics with Poincar\'e-Mok-Yau asymptotic property. https://arxiv.org/abs/1603.09131

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