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Abstract: | 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. |
Publication Date: | 2018 |
Citation: | Yuan, Xinyi, Zhang, Shou-Wu. (2018). On the averaged Colmez conjecture. ANNALS OF MATHEMATICS, 187 (533 - 638). doi:10.4007/annals.2018.187.2.4 |
DOI: | doi:10.4007/annals.2018.187.2.4 |
ISSN: | 0003-486X |
EISSN: | 1939-8980 |
Pages: | 533 - 638 |
Language: | English |
Type of Material: | Journal Article |
Journal/Proceeding Title: | ANNALS OF MATHEMATICS |
Version: | Author's manuscript |
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