Extremal metrics on toric surfaces: a continuity method
Extremal metrics on toric surfaces: a continuity method
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DOI：
10.4310/jdg/1213798183
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发表时间：
2008-07
影响因子：
2.5
通讯作者：
S. Donaldson
中科院分区：
文献类型：
--
作者：
S. Donaldson
本文发展了Abreu方程解的存在性理论，其中包括复曲面上的极值度量。所采用的技术是一种连续性方法，结合了“爆炸”参数。一般的存在性结果得到，假设一个假设（“M-条件”）的解决方案，这是有关的内射半径。
The paper develops an existence theory for solutions of the Abreu equation, which include extremal metrics on toric surfaces. The technique employed is a continuity method, combined with “blow-up” arguments. General existence results are obtained, assuming a hypothesis (the “M-condition”) on the solutions, which is shown to be related to the injectivity radius.