Arnol'd's type theorem on a neighborhood of a cycle of rational curves

Takayuki Koike

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arXiv · 1805.05326

Arnol'd's type theorem on a neighborhood of a cycle of rational curves

Takayuki Koike

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Abstract

Arnol'd showed the uniqueness of the complex analytic structure of a small neighborhood of a non-singular elliptic curve embedded in a non-singular surface whose normal bundle satisfies Diophantine condition in the Picard variety. We show an analogue of this theorem for a neighborhood of a cycle of rational curves.

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Takayuki Koike. 2018-05-13. Arnol'd's type theorem on a neighborhood of a cycle of rational curves. https://arxiv.org/abs/1805.05326

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