Holmstrom L-function II

arXiv:1211.4459 Computing $L$-functions and semistable reduction of superelliptic curves fra arXiv Front: math.AG av Irene I. Bouw, Stefan Wewers We give an explicit description of the stable reduction of superelliptic curves of the form $y^n=f(x)$ at primes $\p$ whose residue characteristic is prime to the exponent $n$. We then use this description to compute the local $L$-factor of the curve and the exponent of conductor at $\p$.

arXiv:1211.4239 Cyclic homology, Serre’s local factors and the $\lambda$-operations fra arXiv Front: math.AG av Alain Connes, Caterina Consani 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.

http://mathoverflow.net/questions/111670/blueprint-of-l-functions-and-need-for-introducing-them-hasse-weil-l-functions

nLab page on L-function II