Néron Functions on Abelian Varieties



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.


Abelian Variety Group Extension Divisor Class Discrete Valuation Ring Arbitrary Variety 
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Copyright information

© Springer Science+Business Media New York 1983

Authors and Affiliations

  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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