2004/05/11 by Ivan Cheltsov, Cheltsov, Ivan · 1 citation
Mathematics · #14E05 #14E07 #14E08 #14J45 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #math.AG #msc:14E05 #msc:14E07 #msc:14E08 #msc:14J45
paper · pdf · doi:10.48550/arxiv.math/0405194
arxiv created 2004/05/11 · openalex publication_date 2004/05/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove the non-rationality of a double cover of ℙn branched over a hypersurface F⊂ℙn of degree 2n having isolated singularities such that n≥ 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).