The direct image of generalized divisors and the Norm map between compactified Jacobians

Given a finite, flat morphism between embeddable noetherian schemes of pure dimension 1, we define the notion direct and inverse image for generalized divisors line bundles. In case when deal with (possibly reducible, non-reduced) projective curves over field codomain curve is smooth, introduce compactified Jacobians parametrizing torsion-free rank-1 sheaves study Norm maps Jacobians. Finally, Prym stack defined as kernel map.