2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61348Let 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.Algebraic GeometryNumber Theory11G35; 14K15;14G25text