English

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

Algebraic Geometry 2016-06-30 v4

Abstract

We present some families of cubic hypersurfaces in P5(C)\mathbb P^5 (\mathbb C) containing a plane whose associated quadric bundle does not have a rational section.

Keywords

Cite

@article{arxiv.1304.5900,
  title  = {Cubic fourfolds containing a plane and K3 surfaces of Picard rank two},
  author = {Federica Galluzzi},
  journal= {arXiv preprint arXiv:1304.5900},
  year   = {2016}
}

Comments

New version. To appear in Geometriae Dedicata