Cyclic homology, Serre's local factors and the $\lambda$-operations
Algebraic Geometry
2012-11-20 v1 K-Theory and Homology
Number Theory
Abstract
We show that for a smooth, projective variety X defined over a number field K, cyclic homology with coefficients in the ring of infinite adeles of K, provides the right theory to obtain, using the lambda-operations, Serre's archimedean local factors of the complex L-function of X as regularized determinants.
Cite
@article{arxiv.1211.4239,
title = {Cyclic homology, Serre's local factors and the $\lambda$-operations},
author = {Alain Connes and Caterina Consani},
journal= {arXiv preprint arXiv:1211.4239},
year = {2012}
}
Comments
32 pages, 7 Figures