Open Access- https://doi.org/10.1007/s11425-023-2160-3
Conics on Barth-Bauer octics
- Apr 23, 2024
- Science China Mathematics
- Alex Degtyarev
Abstract
We analyze the configurations of conics and lines on a special class of Kummer octic surfaces. In particular, we bound the number of conics by 176 and show that there is a unique surface with 176 conics, all irreducible: it admits a faithful action of one of the Mukai groups. Therefore, we also discuss conics and lines on Mukai surfaces: we discover a double plane (ramified at a smooth sextic curve) that contains 8910 smooth conics.
