Algebraic Families of Néron Functions

Serge Lang
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Serge Lang: Yale University, Department of Mathematics

Chapter Chapter 12 in Fundamentals of Diophantine Geometry, 1983, pp 296-323 from Springer

Abstract: Abstract 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.

Keywords: Irreducible Component; Elliptic Curf; Abelian Variety; Generic Fiber; Surjective Morphism (search for similar items in EconPapers)
Date: 1983
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DOI: 10.1007/978-1-4757-1810-2_12

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