The ABC Conjecture Implies Vojta's Heigh
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Machiel Van Frankenhuysen
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Article
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2002
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Elsevier Science
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English
β 158 KB
Following Elkies (Internat. Math. Res. Notices 7 (1991) 99-109) and Bombieri (Roth's theorem and the abc-conjecture, preprint, ETH Zu¨rich, 1994), we show that the ABC conjecture implies the one-dimensional case of Vojta's height inequality. The main geometric tool is the construction of a Bely$ ı ı