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Is there a modern reference for NĂ©ron's "Quasi-fonctions et Hauteurs sur les Varietes Abeliennes" http://www.jstor.org/pss/1970644 i.e. using Grothendieck's language of schemes and in English?

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You might have a look at Bosch-Lorenzini's paper math.uga.edu/~lorenz/LorenziniBosch.pdf (§ 4) and Cédric Pépin's preprint front.math.ucdavis.edu/1103.0570 –  Qing Liu Dec 6 '11 at 21:34
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I am not sure what topic from that paper you are interested in but you might find some of them in the 'Arithmetic Geometry' volume edited by G. Cornell and J. Silverman: amazon.com/Arithmetic-Geometry-G-Cornell/dp/0387963111/… –  Mahdi Majidi-Zolbanin Dec 8 '11 at 21:06
    
Isn't this pretty much the content of Lang's Fundamentals of Diophantine Geometry, Chapter 11, "Neron Functions on Abelian Varieties"? –  Joe Silverman Jan 22 '13 at 4:02
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