Brauer groups and Tate-Shafarevich groups
Algebraic Geometry
2007-05-23 v1 Number Theory
Abstract
Let X_K be a proper, smooth and geometrically connected curve over a global field K. In this paper we generalize a formula of Milne relating the order of the Tate-Shafarevich group of the Jacobian of X_K to the order of the Brauer group of a proper regular model of X_K. We thereby partially answer a question of Grothendieck.
Keywords
Cite
@article{arxiv.math/0104214,
title = {Brauer groups and Tate-Shafarevich groups},
author = {Cristian D. Gonzalez-Aviles},
journal= {arXiv preprint arXiv:math/0104214},
year = {2007}
}