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On the averaged Colmez conjecture

Xinyi Yuan University of California at Berkeley Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1807.24001

Best Paper Award in 2019

Annals of Math, 2018
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.
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@inproceedings{xinyi2018on,
  title={On the averaged Colmez conjecture},
  author={Xinyi Yuan, and Shou-Wu Zhang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180721230047553400119},
  booktitle={Annals of Math},
  year={2018},
}
Xinyi Yuan, and Shou-Wu Zhang. On the averaged Colmez conjecture. 2018. In Annals of Math. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180721230047553400119.
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