Abstract
The Colmez conjecture is a formula expressing the Faltings height of an abelian variety with complex multiplication 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, which was also proposed by Colmez.
Citation
Xinyi Yuan. Shou-Wu Zhang. "On the averaged Colmez conjecture." Ann. of Math. (2) 187 (2) 533 - 638, March 2018. https://doi.org/10.4007/annals.2018.187.2.4
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