简单全纯圆的环面性质
The annulus property of simple holomorphic discs
摘要：
我们证明了任何一个简单的全纯圆盘都具有环面性质，即，每个内点被完全由内射点组成的任意小环所包围。作为一个应用，我们证明了在对殆复结构进行微小扰动后，全纯圆盘的内部奇异性可以得到解决。此外，对于边界点，引入了类似的概念，半环性质，并进行了详细的研究。
英文摘要：
We show that any simple holomorphic disc admits the annulus property, i.e., each interior point is surrounded by an arbitrary small annulus consisting entirely of injective points. As an application we show that interior singularities of holomorphic discs can be resolved after slight perturbation of the almost complex structure. Moreover, for boundary points the analogue notion, the half-annulus property, is introduced and studied in detail.
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