On the complete classification of extremal log Enriques surfaces
| dc.creator | Oguiso, K. | |
| dc.creator | Zhang, D. -Q. | |
| dc.date | 1999-06-01 | |
| dc.date.accessioned | 2026-07-07T05:29:20Z | |
| dc.date.available | 2026-07-07T05:29:20Z | |
| dc.description | We show that there are exactly, up to isomorphisms, seven extremal log Enriques surfaces Z and construct all of them; among them types D_{19} and A_{19} have been shown of certain uniqueness by M. Reid. We also prove that the (degree 3 or 2) canonical covering of each of these seven Z has either X_3 or X_4 as its minimal resolution. Here X_3 (resp. X_4) is the unique K3 surface with Picard number 20 and discriminant 3 (resp. 4), which are called the most algebraic K3 surfaces by Vinberg and have infinite automorphism groups (by Shioda-Inose and Vinberg). | |
| dc.description | 22 pages. Math. Z. to appear | |
| dc.identifier | https://arxiv.org/abs/math/9906005 | |
| dc.identifier | http://arxiv.org/abs/math/9906005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78596 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the complete classification of extremal log Enriques surfaces | |
| dc.type | text |