The Chowla-Selberg formula for abelian CM fields and Faltings heights
| dc.creator | Barquero Sánchez, Adrián Alberto | |
| dc.creator | Masri, Riad | |
| dc.date.accessioned | 2019-01-29T14:14:17Z | |
| dc.date.available | 2019-01-29T14:14:17Z | |
| dc.date.issued | 2016-03 | |
| dc.description.abstract | In this paper we establish a Chowla-Selberg formula for abelian CM fields. This is an identity which relates values of a Hilbert modular function at CM points to values of Euler’s gamma function Γ and an analogous function Γ2 at rational numbers. We combine this identity with work of Colmez to relate the CM values of the Hilbert modular function to Faltings heights of CM abelian varieties. We also give explicit formulas for products of exponentials of Faltings heights, allowing us to study some of their arithmetic properties using the Lang-Rohrlich conjecture. | es |
| dc.description.procedence | UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática | es |
| dc.description.procedence | UCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemáticas Puras y Aplicadas (CIMPA) | es |
| dc.identifier.citation | https://www.cambridge.org/core/journals/compositio-mathematica/article/chowlaselberg-formula-for-abelian-cm-fields-and-faltings-heights/0EEE0C3B5124C8CB191C427F98FC3CC5 | |
| dc.identifier.doi | https://doi.org/10.1112/S0010437X15007629 | |
| dc.identifier.issn | 1570-5846 | |
| dc.identifier.uri | https://hdl.handle.net/10669/76495 | |
| dc.language.iso | en_US | |
| dc.rights | acceso abierto | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.source | Compositio Mathematica, vol. 152(3), pp. 445-476 | es |
| dc.subject | Chowla-Selberg formula | es |
| dc.subject | CM point | es |
| dc.subject | Faltings height | es |
| dc.subject | Hilbert modular function | es |
| dc.title | The Chowla-Selberg formula for abelian CM fields and Faltings heights | es |
| dc.type | artículo original |