English

Double spaces with isolated singularities

Algebraic Geometry 2007-05-23 v1

Abstract

We prove the non-rationality of a double cover of Pn\mathbb{P}^{n} branched over a hypersurface FPnF\subset\mathbb{P}^{n} of degree 2n2n having isolated singularities such that n4n\ge 4 and every singular points of the hypersurface FF is ordinary, i.e. the projectivization of its tangent cone is smooth, whose multiplicity does not exceed 2(n2)2(n-2).

Keywords

Cite

@article{arxiv.math/0405194,
  title  = {Double spaces with isolated singularities},
  author = {Ivan Cheltsov},
  journal= {arXiv preprint arXiv:math/0405194},
  year   = {2007}
}