Abstract
Throughout this exposition K will denote a number field and C/K will be an absolutely irreducible (smooth and complete) curve of genus g ≥ 1. In fact more generally one can take for K any field equipped with a product formula as defined in [70, p. 7]. We make the standing assumption that over K, a divisor class of degree 1 on C exists (this can always be achieved after replacing K by a finite extension). Our main reference is the paper [53] referred to in the title above plus the descriptions given in [70], [9] of Mumford’s result.
Keywords
- Abelian Variety
- Number Field
- Product Formula
- Finite Extension
- Divisor Class
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 1993 Springer-Verlag Berlin Heidelberg
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Top, J. (1993). D. Mumford’s “A Remark on Mordell’s Conjecture”. 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_6
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DOI: https://doi.org/10.1007/978-3-540-48208-6_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-57528-3
Online ISBN: 978-3-540-48208-6
eBook Packages: Springer Book Archive
