English

On the Averaged Colmez Conjecture

Number Theory 2021-11-19 v3

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.

Keywords

Cite

@article{arxiv.1507.06903,
  title  = {On the Averaged Colmez Conjecture},
  author = {Xinyi Yuan and Shou-Wu Zhang},
  journal= {arXiv preprint arXiv:1507.06903},
  year   = {2021}
}

Comments

Fix some typos

R2 v1 2026-06-22T10:18:00.725Z