A non-Archimedean Ohsawa-Takegoshi extension theorem
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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2017
- DOI:
- arXiv:
- arXiv:1701.04839
- Bibcode:
- 2017arXiv170104839S
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- 20 pages. Simplified the proof of Lemma 3.7 and added a new proof of Lemma 4.13, minor changes. To appear in Math Z