Eisenstein cocycles for GL(n) and values of L-functions in imaginary quadratic extensions
Number Theory
2020-01-23 v2
Abstract
We generalize Sczech's Eisenstein cocycle for over totally real extensions of to finite extensions of imaginary quadratic fields. By evaluating the cocycle on certain cycles, we parametrize complex values of Hecke L-functions previously considered by Colmez, giving a cohomological interpretation of his algebraicity result on special values of the L-functions.
Keywords
Cite
@article{arxiv.1611.08565,
title = {Eisenstein cocycles for GL(n) and values of L-functions in imaginary quadratic extensions},
author = {Jorge Flórez and Cihan Karabulut and Tian An Wong},
journal= {arXiv preprint arXiv:1611.08565},
year = {2020}
}
Comments
28 pages. Comments welcome