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Coleman-Oort’s conjecture for degenerate irreducible curves

✍ Scribed by Fabrizio Andreatta


Book ID
113091235
Publisher
The Hebrew University Magnes Press
Year
2012
Tongue
English
Weight
562 KB
Volume
187
Category
Article
ISSN
0021-2172

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The ABC Conjecture Implies Vojta's Heigh
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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