Néron Functions on Abelian Varieties

Serge Lang
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Serge Lang: Yale University, Department of Mathematics

Chapter Chapter 11 in Fundamentals of Diophantine Geometry, 1983, pp 266-295 from Springer

Abstract: 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.

Keywords: Abelian Variety; Group Extension; Divisor Class; Discrete Valuation Ring; Arbitrary Variety (search for similar items in EconPapers)
Date: 1983
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DOI: 10.1007/978-1-4757-1810-2_11

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