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arXiv · 2401.13186

Campana conjecture for coverings of toric varieties over function fields

Carlo Gasbarri·Ji Guo·Julie Tzu-Yueh Wang
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Abstract

We first prove Vojta's abc conjecture over function fields for Campana points on projective toric varieties with high multiplicity along the boundary. As a consequence, we obtain a version of Campana's conjecture on finite coverings of projective toric varieties over function fields.

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Carlo Gasbarri, Ji Guo, Julie Tzu-Yueh Wang. 2025-11-03. Campana conjecture for coverings of toric varieties over function fields. https://arxiv.org/abs/2401.13186

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