Geodesic
Double spaces with isolated singularities
Sbornik. Mathematics, Tome 199 (2008) no. 2, pp. 291-306 Cet article a éte moissonné depuis la source Math-Net.Ru

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The non-rationality is proved for double covers of $\mathbb P^n$ branched over a hypersurface $F\subset\mathbb P^n$ of degree $2n\geqslant8$ with isolated singularities such that the multiplicity of each singular point of $F$ does not exceed $2(n-2)$ and the projectivization of its tangent cone is smooth. Bibliography: 15 titles. 
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I. A. Cheltsov. Double spaces with isolated singularities. Sbornik. Mathematics, Tome 199 (2008) no. 2, pp. 291-306. http://geodesic.mathdoc.fr/item/SM_2008_199_2_a6/

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