Double spaces with isolated singularities
Sbornik. Mathematics, Tome 199 (2008) no. 2, pp. 291-306
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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.
@article{SM_2008_199_2_a6,
author = {I. A. Cheltsov},
title = {Double spaces with isolated singularities},
journal = {Sbornik. Mathematics},
pages = {291--306},
publisher = {mathdoc},
volume = {199},
number = {2},
year = {2008},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2008_199_2_a6/}
}
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/