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Mathematics > Algebraic Geometry
Title: Big Picard Theorem for jet differentials and Non-archimedean Ax-Lindemann Theorem
(Submitted on 23 Dec 2020 (v1), last revised 8 Sep 2021 (this version, v3))
Abstract: By implementing jet differential techniques in non-archimedean geometry, we obtain a big Picard type extension theorem, which generalizes a previous result of Cherry and Ru. As applications, we establish two hyperbolicity-related results. Firstly, we prove a non-archimedean Ax-Lindemann theorem for totally degenerate abelian varieties. Secondly, we show the pseudo-Borel hyperbolicity for subvarieties of general type in abelian varieties.
Submission history
From: Ruiran Sun [view email][v1] Wed, 23 Dec 2020 13:44:04 GMT (19kb)
[v2] Sat, 16 Jan 2021 05:29:46 GMT (19kb)
[v3] Wed, 8 Sep 2021 07:57:54 GMT (20kb)
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