2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68896We prove that a general Fano fibration $π\colon V\to {\mathbb P}^1$, the fiber of which is a double Fano hypersurface of index 1, is birationally superrigid provided it is sufficiently twisted over the base. In particular, on $V$ there are no other structures of a rationally connected fibration. The proof is based on the method of maximal singularities.37 pagesAlgebraic Geometry14E05; 14E07; 14E08text