Cyclic homology, Serre’s local factors and the λ-operations


We show that for a smooth, projective variety X defined over a number field K, cyclic homology with coefficients in the ring A∞ = ∏ ν|∞Kν , provides the right theory to obtain, using the λ-operations, Serre’s archimedean local factors of the complex Lfunction of X as regularized determinants. 


6 Figures and Tables