K3 Surfaces with Nine Cusps |
| |
| Authors: | W. Barth |
| |
| Affiliation: | (1) Mathematisches Institut der Universität, Bismarchstr. 1 1/2, D 91054 Erlangen, Germany; e-mail |
| |
| Abstract: | By a K3-surface with nine cusps I mean a surface with nine isolated double points A2, but otherwise smooth, such that its minimal desingularisation is a K3-surface. It is shown that such a surface admits a cyclic triple cover branched precisely over the cusps. This parallels the theorem of Nikulin that a K3-surface with 16 nodes is a Kummer quotient of a complex torus. |
| |
| Keywords: | K3-surfaces automorphisms of Abelian surfaces. |
| 本文献已被 SpringerLink 等数据库收录！ |
|
