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arXiv · 2606.14074

Lang-Vojta conjecture over function fields for very general log projective spaces

Takeshi Abe
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Abstract

We consider a bound of degrees of curves by their genera in the log pair $(\mathbb{P}^{n}\times C, D)$, where $C$ is a smooth complex projective curve and $D$ is a very general smooth divisor on $\mathbb{P}^{n}\times C$. Our study is motivated by a function field analogue of the Lang-Vojta conjecture.

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Takeshi Abe. 2026-06-12. Lang-Vojta conjecture over function fields for very general log projective spaces. https://arxiv.org/abs/2606.14074

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