Conjectures sur les dérivées logarithmiques des fonctions L d'Artin aux entiers négatifs

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We formulate several variants of a conjecture relating the arithmetic degree of certain hermitian fibre bundles with the values of the logarithmic derivative of Artin's L-functions at negative integers. This generalizes conjectures by Colmez and Gross-Deligne and complements Beilinson's conjectures for the Artin motives. We announce several results in the direction of these statements.
AMS-LaTeX, 8 pages, submitted

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Algebraic Geometry, Number Theory, 11G18; 11G40; 11G50; 14G35; 14G40

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http://salesiana.dossiersoluciones.com/handle/123456789/63194

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0201234
 http://arxiv.org/abs/math/0201234

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arXiv