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# Algebraic hyperbolicity of very general surfaces

Recently, Haase and Ilten initiated the study of classifying algebraically
hyperbolic surfaces in toric threefolds. We complete this classification for
$\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^1$, $\mathbb{P}^2 \times
\mathbb{P}^1$, $\mathbb{F}_e \times \mathbb{P}^1$ and the blowup of
$\mathbb{P}^3$ at a point, augmenting our earlier work on $\mathbb{P}^3$. In
the process, we codify several different techniques for proving algebraic
hyperbolicity, allowing us to prove similar results for hypersurface in any
variety admitting a group action with dense orbit.

## History

## Citation

Coskun, I.Riedl, E. (2019). Algebraic hyperbolicity of very general surfaces. Retrieved from http://arxiv.org/abs/1912.07689v1## Usage metrics

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