2004/10/18 by Ivan Cheltsov, Cheltsov, Ivan
Mathematics · #14E05 #14E07 #14E08 #14J35 #14J40 #14J45 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14E05 #msc:14E07 #msc:14E08 #msc:14J35 #msc:14J40 #msc:14J45
paper · pdf · doi:10.48550/arxiv.math/0410408
9 pages
arxiv created 2005/06/14 · arxiv updated 2009/12/01
We study a double cover ψ:X→ V⊂ℙn branched over a smooth divisor R⊂ V such that R is cut on V by a hypersurface of degree 2(n-deg(V)), where n\geqslant 8 and V is a smooth hypersurface of degree 3 or 4. We prove that X is nonrational and birationally superrigid.