On the averaged Colmez conjecture

• 成果类型: Article
• 署名作者: Yuan, Xinyi; Zhang, Shou-Wu
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2018.187.2.4
• 发表日期: 2018
• 页码: 533-638
• 关键词: abelian-varieties; arithmetic intersection; periods; derivatives; FORMULA

摘要

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.