We analyze the asymptotic behavior of a $2$-dimensional integral current which is almost minimizing in a suitable sense at a singular point. Our analysis is the second half of an argument which shows the discreteness of the singular set for the following three classes of $2$-dimensional currents: area minimizing in Riemannian manifolds, semicalibrated and spherical cross sections of $3$-dimensional area minimizing cones.

中文翻译：

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2 美元维几乎最小电流的规律性理论 III：爆炸

我们分析了 $2$ 维积分电流的渐近行为，该电流在奇异点的适当意义上几乎最小化。我们的分析是论证的后半部分，它显示了以下三类 $2$ 维电流的奇异集的离散性：黎曼流形中的面积最小化，$3$ 维面积最小化锥体的半校准和球形横截面。