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arXiv · 2611.05217

On the $abc$ conjecture

Christophe Soulé
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Abstract

Using adelic intersection theory and following the method envisioned by Parshin and Moret-Bailly, we prove a conjecture of Vojta for curves of genus two and a weak form of the $abc$ conjecture

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Christophe Soulé. 2026-11-03. On the $abc$ conjecture. https://arxiv.org/abs/2611.05217

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