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On Vojta's 1 + Ɛ Conjecture

Published online by Cambridge University Press:  20 November 2018

Xi Chen
Xi Chen*
Affiliation:
University of Alberta, Edmonton, AB, T6G 2G1 email: xichen@math.ualberta.ca
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Abstract

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We give another proof of Vojta's $1\,+\,\varepsilon $ conjecture.

Keywords

14G4014H15Vojta1 + ɛ
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 63 , Issue 1 , 01 February 2011 , pp. 86 - 103
Copyright
Copyright © Canadian Mathematical Society 2011

References

[V1] Vojta, P., Diophantine inequalities and Arakelov theory. In: S. Lang, Introduction to Arakelov theory., Springer-Verlag, New York, 1988, 155-178.Google Scholar
[V2] Vojta, P., On algebraic points on curves. Compositio Math. 78(1991), no. 1, 29-36.Google Scholar
[Y] Yamanoi, K., The second main theorem for small functions and related problems. Acta. Math. 192(2004), no. 2, 225-294. doi:10.1007/BF02392741Google Scholar