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On the complete classification of extremal log Enriques surfaces | | K. Oguiso
; D. -Q. Zhang
; | | Date: |
1 Jun 1999 | | Subject: | Algebraic Geometry | math.AG | | Abstract: | 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). | | Source: | arXiv, math.AG/9906005 | | Services: | Forum | Review | PDF | Favorites | |
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