Néron Functions on Abelian Varieties
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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.
KeywordsAbelian Variety Group Extension Divisor Class Discrete Valuation Ring Arbitrary Variety
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