Abstract
It is a general problem to estimate the difference between the Néron-Tate height h c and the height h φ coming from a projective embedding φ of A, where c is the class of the linear system containing the inverse image of a hyperplane by cp. Estimates for elliptic curves have been given by Manin [Man 4], Demjanenko [De 1], Zimmer [Zi]; and arising from local considerations by Lang [L 7], see also [L 15], Conjecture 5.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer Science+Business Media New York
About this chapter
Cite this chapter
Lang, S. (1983). Algebraic Families of Néron Functions. In: Fundamentals of Diophantine Geometry. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1810-2_12
Download citation
DOI: https://doi.org/10.1007/978-1-4757-1810-2_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2818-4
Online ISBN: 978-1-4757-1810-2
eBook Packages: Springer Book Archive