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Dirichlet's Theorem, Vojta's Inequality, and Vojta's Conjecture

✍ Scribed by Xiangjun Song; Thomas J. Tucker


Book ID
111524000
Publisher
Cambridge University Press
Year
1999
Tongue
English
Weight
151 KB
Volume
116
Category
Article
ISSN
0010-437X

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πŸ“œ SIMILAR VOLUMES


The ABC Conjecture Implies Vojta's Heigh
✍ Machiel Van Frankenhuysen πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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