论文标题

关于$ \ bbb c^2 $的cantor套件的适当霍明式嵌入的OREVKOV论文的扩展解释

Extended explanation of Orevkov's paper on proper holomorphic embeddings of complements of Cantor sets in $\Bbb C^2$ and a discussion of their measure

论文作者

Di Salvo, Giovanni Domenico

论文摘要

我们阐明了Orevkov的神秘论文的细节,其中构造了适当的嵌入$γ\ colon \ colon \ bbb p^1 \ setMinus {c} \ hookrightArrow \ bbb c^2 $;特别是,可以证明可以进行这种构造以使Cantor Set $ c $具有零Hausdorff尺寸。

We clarify the details of a cryptical paper by Orevkov in which a construction of a proper holomorphic embedding $γ\colon\Bbb P^1\setminus{C}\hookrightarrow\Bbb C^2$ is performed; in particular, it is proved that such a construction can be done to get the Cantor set $C$ to have zero Hausdorff dimension.

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