Double spaces with isolated singularities

Details Double spaces with isolated singularities Double spaces with isolated singularities

2004-05-11

arxiv.org/abs/math/0405194v1

Mathematics

Algebraic Geometry

Scientific paper

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 $2(n-2)$.

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