Abstract
The purpose of the present article is to survey the development of the theory of Mordell’s Conjecture and Lang’s Conjecture in relation with the Kobayashi hyperbolicity, and their analogues over function fields. We will also discuss the deeply related Shafarevich Conjecture and the related results. In last, we will mention some open problems.
Mathematics Subject Classification (2010). 32Q45, 14G05.
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© 2015 Springer International Publishing Switzerland
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Noguchi, J. (2015). Kobayashi Hyperbolicity and Lang’s Conjecture. In: Ochiai, T., Mabuchi, T., Maeda, Y., Noguchi, J., Weinstein, A. (eds) Geometry and Analysis on Manifolds. Progress in Mathematics, vol 308. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-11523-8_5
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DOI: https://doi.org/10.1007/978-3-319-11523-8_5
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-11522-1
Online ISBN: 978-3-319-11523-8
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