Conics on Barth-Bauer octics  

作　　者：Alex Degtyarev 

机构地区：[1]Department of Mathematics,Bilkent University,Ankara,06800,Turkey

出　　处：《Science China Mathematics》2024年第7期1507-1524,共18页中国科学（数学）（英文版）

基　　金：supported by TÜBİTAK(Grant No.118F413).

摘　　要：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 8,910 smooth conics.

关 键 词：K3-surface octic surface Kummer surface CONIC Mukai group 

分 类 号：O186.11[理学—数学]