Abstract
Arithmetic questions on the number of points of degree d on a smooth (irreducible) algebraic curve over a number field lead to geometric questions about the curve by using Faltings’s big theorem. We discuss here some questions and conjectures initiated by Abramovich and Harris in [4]. We refer to the end of this paper for a discussion of the recent literature.
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© 1993 Springer-Verlag Berlin Heidelberg
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van der Geer, G. (1993). Points of Degree d on Curves over Number Fields. In: Edixhoven, B., Evertse, JH. (eds) Diophantine Approximation and Abelian Varieties. Lecture Notes in Mathematics, vol 1566. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48208-6_12
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DOI: https://doi.org/10.1007/978-3-540-48208-6_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-57528-3
Online ISBN: 978-3-540-48208-6
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