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arXiv · 1211.4239

Cyclic homology, Serre's local factors and the $\lambda$-operations

Alain Connes·Caterina Consani
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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.

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Alain Connes, Caterina Consani. 2012-11-18. Cyclic homology, Serre's local factors and the $\lambda$-operations. https://arxiv.org/abs/1211.4239

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