# Non-archimedean entire curves in closed subvarieties of semi-abelian   varieties

**Authors:** Jackson S. Morrow

arXiv: 1907.12864 · 2019-07-31

## TL;DR

This paper establishes a non-archimedean analogue of a hyperbolicity property for closed subvarieties of semi-abelian varieties, extending Cherry's result to a new mathematical setting.

## Contribution

It introduces a non-archimedean version of hyperbolicity for subvarieties in semi-abelian varieties, broadening the scope of previous complex-analytic results.

## Key findings

- Proves a non-archimedean analogue of hyperbolicity
- Generalizes Cherry's theorem to new settings
- Establishes hyperbolicity modulo the special locus

## Abstract

We prove a non-archimedean analogue of the fact that a closed subvariety of a semi-abelian variety is hyperbolic modulo its special locus, and thereby generalize a result of Cherry.

## Full text

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## References

37 references — full list in the complete paper: https://tomesphere.com/paper/1907.12864/full.md

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Source: https://tomesphere.com/paper/1907.12864