On the Averaged Colmez Conjecture

Published 24 Jul 2015 in math.NT | (1507.06903v3)

Abstract: The Colmez conjecture, proposed by Colmez, is a conjecture expressing the Faltings height of a CM abelian variety in terms of some linear combination of logarithmic derivatives of Artin L-functions. The aim of this paper to prove an averaged version of the conjecture.

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