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arxiv: 1701.04839 · v3 · pith:YMSZT4FXnew · submitted 2017-01-17 · 🧮 math.AG

A non-Archimedean Ohsawa-Takegoshi extension theorem

classification 🧮 math.AG
keywords non-archimedeantheoremberkovichdiscextensionunitanalogueapplication
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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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