Extension of analytic covers by extension of their ramification divisor

Landry Lavoine

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arXiv · 1504.05446

Extension of analytic covers by extension of their ramification divisor

Landry Lavoine

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Abstract

This paper deals with extension of analytic covers. We prove topological extension theorems for analytic covers. The main result is an extension theorem which only uses the extension of the ramification divisor. We give also a Thullen-type and a Hartogs-type extensions theorems.

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Landry Lavoine. 2015-04-21. Extension of analytic covers by extension of their ramification divisor. https://arxiv.org/abs/1504.05446

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