On the averaged Colmez conjecture

DOI10.4310/CDM.2018.V2018.N1.A3zbMATH Open1469.11195arXiv1811.00428MaRDI QIDQ5133618

Author name not available (Why is that?)

Publication date: 10 November 2020

Published in: Current Developments in Mathematics (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1811.00428

zbMATH Keywords

Artin \(L\)-functionsaveraged Colmez conjecture

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

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