Varieties with nef diagonal
Abstract
For a smooth projective variety $X$, we consider when the diagonal $\Delta_X$ is nef as a cycle on $X\times X$. In particular, we give a classification of complete intersections and smooth del Pezzo varieties where the diagonal is nef. We also study the nefness of the diagonal for spherical varieties.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2018
- DOI:
- 10.48550/arXiv.1803.08216
- arXiv:
- arXiv:1803.08216
- Bibcode:
- 2018arXiv180308216S
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- 18 pages