Brauer groups and Tate-Shafarevich groups, by Cristian D. Gonzalez-Aviles
Abstract. Let $X_K$ be a proper, smooth and geometrically connected
over a global field $K$. In this paper we generalize a formula of Milne
the order of the Tate-Shafarevich group of the Jacobian of $X_K$ to the
of the Brauer group of a proper regular model of $X_K$. We thereby
answer a question of Grothendieck.
Cristian D. Gonzalez-Aviles <email@example.com>