Mathematics > Algebraic Geometry
arXiv:2606.14074 (math)
[Submitted on 12 Jun 2026]
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.
Submission history
From: Takeshi Abe [view email]
[v1]
Fri, 12 Jun 2026 03:40:03 UTC (37 KB)
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