Algebraic Families of Néron Functions
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.
KeywordsIrreducible Component Elliptic Curf Abelian Variety Generic Fiber Surjective Morphism
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