A Weil-etale version of the Birch and Swinnerton-Dyer formula over function fields
Number Theory
2019-11-20 v2 Algebraic Geometry
Abstract
We give a reformulation of the Birch and Swinnerton-Dyer conjecture over global function fields in terms of Weil-etale cohomology of the curve with coefficients in the Neron model, and show that it holds under the assumption of finiteness of the Tate-Shafarevich group.
Keywords
Cite
@article{arxiv.1812.03619,
title = {A Weil-etale version of the Birch and Swinnerton-Dyer formula over function fields},
author = {Thomas H. Geisser and Takashi Suzuki},
journal= {arXiv preprint arXiv:1812.03619},
year = {2019}
}
Comments
Accepted for publication in the Journal of Number Theory. 23 pages