The $abc$ Conjecture implies the Weak Diversity Conjecture

zbMath1410.11083arXiv1706.05782MaRDI QIDQ4583335

Hilaf Hasson, Andrew Obus

Publication date: 28 August 2018

Full work available at URL: https://arxiv.org/abs/1706.05782

zbMATH Keywords

rational pointsHilbert irreducibility theorem

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Coverings of curves, fundamental group (14H30) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Global ground fields in algebraic geometry (14G25)

Cites Work

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• Diversity in Parametric Families of Number Fields
• Fields containing values of algebraic functions II (On a conjecture of Schinzel)
• On a problem of Dvornicich and Zannier
• Independence of rational points on twists of a given curve
• Uniformity of rational points

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