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Cyclic homology, Serre's local factors and λ-operations

Published online by Cambridge University Press:  25 July 2014

Alain Connes
Collège de France, 3 rue d'Ulm, Paris F-75005, France, I.H.E.S. and Ohio State University,
Caterina Consani
Department of Mathematics, The Johns Hopkins University, Baltimore, MD 21218,
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We show that for a smooth, projective variety X defined over a number field K, cyclic homology with coefficients in the ring , provides the right theory to obtain, using λ-operations, Serre's archimedean local factors of the complex L-function of X as regularized determinants.

Research Article
Copyright © ISOPP 2014 

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