Quotients of K3 Surfaces Modulo Involutions
| dc.creator | Zhang, D. -Q. | |
| dc.date | 1999-05-30 | |
| dc.date.accessioned | 2026-07-07T05:29:18Z | |
| dc.date.available | 2026-07-07T05:29:18Z | |
| dc.description | Let X be a K3 surface with an involution g which has non-empty fixed locus X^g and acts non-trivially on a non-zero holomorphic 2-form. We shall construct all such pairs (X, g) in a canonical way, from some better known double coverings of log del Pezzo surfaces of index at most 2 or rational elliptic surfaces, and construct the only family of each of the three extremal cases where X^g contains 10 (maximum possible) curves. We also classify rational log Enriques surfaces of index 2. Our approach is more geometrical rather than lattice-theoretical (see Nikulin's paper for the latter approach). | |
| dc.description | 30 pages. Japanese J. Mathematics, to appear | |
| dc.identifier | https://arxiv.org/abs/math/9905193 | |
| dc.identifier | http://arxiv.org/abs/math/9905193 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78583 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Primary : 14J28, Secondary : 14J27 | |
| dc.title | Quotients of K3 Surfaces Modulo Involutions | |
| dc.type | text |