We give conditions under which the blowup of an extremal Kahler manifold along a submanifold of codimension greater than two admits an extremal metric. This generalizes work of Arezzo-Pacard-Singer, who considered blowups in points.

中文翻译：

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沿子流形的膨胀的极值度量

我们给出了沿大于 2 的余维子流形的极值 Kahler 流形的膨胀允许极值度量的条件。这概括了 Arezzo-Pacard-Singer 的工作，他考虑了点数的爆炸。