A non-Archimedean Ohsawa-Takegoshi extension theorem
Algebraic Geometry
2018-05-09 v3
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.
Keywords
Cite
@article{arxiv.1701.04839,
title = {A non-Archimedean Ohsawa-Takegoshi extension theorem},
author = {Matthew Stevenson},
journal= {arXiv preprint arXiv:1701.04839},
year = {2018}
}
Comments
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