The ABC conjecture implies Vojta's height inequality for curves

DOI10.1006/jnth.2001.2769zbMath1083.11042OpenAlexW2157935390WikidataQ55968425 ScholiaQ55968425MaRDI QIDQ701114

Machiel van Frankenhuijsen

Publication date: 16 October 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2001.2769

zbMATH Keywords

Diophantine approximationRoth's theoremABC conjectureeffective Mordell.Mordell's conjecturethe error term in the ABC conjecturetype of an algebraic numberVojta's height inequality

Mathematics Subject Classification ID

[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)] Heights (11G50) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97)

Related Items (4)

Lecture on the abc Conjecture and Some of Its Consequences ⋮ Two restricted ABC conjectures ⋮ ABC implies the radicalized Vojta height inequality for curves ⋮ A height inequality for rational points on elliptic curves implied by the abc-conjecture

Cites Work

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• Number theory III: Diophantine geometry
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