Double spaces with isolated singularities

Abstract

We 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 $2(n-2)$.

Cited by in corpus (1)

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