2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60548We construct an equivalence between the derived category of sheaves on an elliptic threefold without a section and a derived category of twisted sheaves (modules over an Azumaya algebra) on any small resolution of its relative Jacobian.19 pages, 1 figure, LaTeX 2e, corrected misprint in Prop. 2.1, all statements now hold without the Calabi-Yau conditionAlgebraic Geometry14H40 (primary); 14J32; 14F22 (secondary)Derived Categories of Twisted Sheaves on Elliptic Threefoldstext