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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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