Tamagawa number formula with coefficients over varieties in positive characteristic
Number Theory
2019-07-15 v1 Algebraic Geometry
Abstract
We express the order of the pole and the leading coefficient of the L-function of a (large class of) -adic coefficients (any prime) over a quasi-projective variety over a finite field of characteristic p. This is a generalization of the result of Milne-Ramachandran with coefficients. The new key ingredient is the use of F-gauges and their equivalence in the derived category with Raynaud modules proved by Ekedahl.
Cite
@article{arxiv.1907.05838,
title = {Tamagawa number formula with coefficients over varieties in positive characteristic},
author = {Olivier Brinon and Fabien Trihan},
journal= {arXiv preprint arXiv:1907.05838},
year = {2019}
}
Comments
16 pages