Arithmetic duality theorems for 1-motives over function fields
Number Theory
2008-11-24 v4 Algebraic Geometry
Abstract
In this paper we obtain a Poitou-Tate exact sequence for finite and flat group schemes over a global function field. We also extend the duality theorems for 1-motives over number fields obtained by D.Harari and T.Szamuely to the function field case.
Keywords
Cite
@article{arxiv.0709.4255,
title = {Arithmetic duality theorems for 1-motives over function fields},
author = {Cristian D. Gonzalez-Aviles},
journal= {arXiv preprint arXiv:0709.4255},
year = {2008}
}
Comments
33 pages. Final version to appear in print