Abstract
On an arbitrary variety, a Weil function associated to a divisor is defined only up to a bounded function. On abelian varieties, Néron showed how to define a function more canonically, up to a constant function. This chapter develops Néron’s results, but in §1 we shall prove existence by a method due to Tate, which is much simpler than Néron’s original construction, and is the analogue of Tate’s limit procedure for the height.
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© 1983 Springer Science+Business Media New York
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Lang, S. (1983). Néron Functions on Abelian Varieties. In: Fundamentals of Diophantine Geometry. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1810-2_11
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DOI: https://doi.org/10.1007/978-1-4757-1810-2_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2818-4
Online ISBN: 978-1-4757-1810-2
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