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On the most algebraic K3 surfaces and the most extremal log Enriques surfaces
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 118, Number 6, December 1996
- pp. 1277-1297
- 10.1353/ajm.1996.0052
- Article
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We shall characterize the unique K3 surface of discriminant 3 or 4, called the most algebraic K3 surfaces by Vinberg, in terms of the fixed locus of an automorphism on it. Based on this result, we show that there is, up to isomorphisms, only one rational log Eriques surface of Type D19 and one of Type A19.