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

Giovanni Domenico Di Salvo

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arXiv · 2211.05046

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

Giovanni Domenico Di Salvo

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Abstract

We clarify the details of a cryptical paper by Orevkov in which a construction of a proper holomorphic embedding $\gamma\colon\Bbb P^1\setminus{C}\hookrightarrow\Bbb C^2$ 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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Giovanni Domenico Di Salvo. 2022-11-09. 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. https://arxiv.org/abs/2211.05046

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