2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119857We construct an example of the birationally rigid complete intersection of a quadric and a cubic in $\PA^5$ with an ordinary double point, which under a small deformation gives a non-rigid Fano variety. Thus we show that birational rigidity is not open in moduli.26 pagesAlgebraic Geometry14E05; 14E07text