Geodesic
On the averaged Colmez conjecture
Xinyi Yuan1 ; Shou-Wu Zhang2
1 University of California at Berkeley, Berkeley, CA
2 Princeton University, Princeton, NJ
Annals of mathematics, Tome 187 (2018) no. 2, pp. 533-638

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.

DOI : 10.4007/annals.2018.187.2.4

Xinyi Yuan 1 ; Shou-Wu Zhang 2

1 University of California at Berkeley, Berkeley, CA
2 Princeton University, Princeton, NJ 
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Xinyi Yuan; Shou-Wu Zhang. On the averaged Colmez conjecture. Annals of mathematics, Tome 187 (2018) no. 2, pp. 533-638. doi: 10.4007/annals.2018.187.2.4

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