Cubic fourfolds containing a plane and K3 surfaces of Picard rank two
Abstract
We present some families of cubic hypersurfaces in $\mathbb P^5 (\mathbb C)$ containing a plane whose associated quadric bundle does not have a rational section.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2013
- DOI:
- 10.48550/arXiv.1304.5900
- arXiv:
- arXiv:1304.5900
- Bibcode:
- 2013arXiv1304.5900G
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14E08;
- 14C30;
- 14J28;
- 14F22
- E-Print:
- New version. To appear in Geometriae Dedicata