Cubic fourfolds containing a plane and K3 surfaces of Picard rank two

2013/04/22 by Galluzzi, Federica
#14C30 #14E08 #14F22 #14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1304.5900

Abstract

We present some families of cubic hypersurfaces in \mathbb P⁵ (\mathbb C) containing a plane whose associated quadric bundle does not have a rational section.

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