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arXiv · 2310.09065

Weakly-special threefolds and non-density of rational points

Finn Bartsch·Ariyan Javanpeykar·Erwan Rousseau
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Abstract

We verify part of a conjecture of Campana predicting that rational points on the weakly-special non-special simply-connected smooth projective threefolds constructed by Bogomolov-Tschinkel are not dense. To prove our result, we establish fundamental properties of moduli spaces of orbifold maps, and prove a dimension bound for such moduli spaces by using the recent extension of Kobayashi-Ochiai's finiteness theorem for Campana's orbifold pairs.

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Finn Bartsch, Ariyan Javanpeykar, Erwan Rousseau. 2023-10-13. Weakly-special threefolds and non-density of rational points. https://arxiv.org/abs/2310.09065

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