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arXiv · 1701.04839

A non-Archimedean Ohsawa-Takegoshi extension theorem

Matthew Stevenson
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Abstract

We prove an Ohsawa-Takegoshi-type extension theorem on the Berkovich closed unit disc over a complete non-Archimedean field. As an application, we establish a non-Archimedean analogue of Demailly's regularization theorem for quasisubharmonic functions on the Berkovich unit disc.

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Matthew Stevenson. 2018-05-08. A non-Archimedean Ohsawa-Takegoshi extension theorem. https://arxiv.org/abs/1701.04839

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