2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71138We prove the non-rationality of a double cover of $\mathbb{P}^{n}$ branched over a hypersurface $F\subset\mathbb{P}^{n}$ of degree $2n$ having isolated singularities such that $n\ge 4$ and every singular points of the hypersurface $F$ is ordinary, i.e. the projectivization of its tangent cone is smooth, whose multiplicity does not exceed $2(n-2)$.Algebraic Geometry14E05, 14E07, 14E08, 14J45text