Degtyarev, Alex2025-02-212025-02-212024-04-231674-7283https://hdl.handle.net/11693/116541We 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 8,910 smooth conics.EnglishK3-surfaceOctic surfaceKummer surfaceConicMukai groupArticle10.1007/s11425-023-2160-31869-1862