Conics in sextic $K3$-surfaces in $\mathbb{P}^4$
Algebraic Geometry
2024-03-05 v2
Abstract
We prove that the maximal number of conics in a smooth sextic -surface is 285, whereas the maximal number of real conics in a real sextic is 261. In both extremal configurations, all conics are irreducible.
Cite
@article{arxiv.2010.07412,
title = {Conics in sextic $K3$-surfaces in $\mathbb{P}^4$},
author = {Alex Degtyarev},
journal= {arXiv preprint arXiv:2010.07412},
year = {2024}
}
Comments
Final version appearing in Nagoya Math. J