English

On the averaged Colmez conjecture

Number Theory 2018-12-05 v2

Abstract

This is an expository article on the averaged version of Colmez's conjecture, relating Faltings heights of CM abelian varieties to Artin L-functions. It is based on the author's lectures at the Current Developments in Mathematics conference held at Harvard in 2018.

Cite

@article{arxiv.1811.00428,
  title  = {On the averaged Colmez conjecture},
  author = {Benjamin Howard},
  journal= {arXiv preprint arXiv:1811.00428},
  year   = {2018}
}

Comments

Final version. 54 pages

R2 v1 2026-06-23T05:00:47.842Z