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On the most algebraic K3 surfaces and the most extremal log Enriques surfaces

1996; Johns Hopkins University Press; Volume: 118; Issue: 6 Linguagem: Inglês

10.1353/ajm.1996.0052

1080-6377

Keiji Oguiso, De‐Qi Zhang,

Commutative Algebra and Its Applications

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 D 19 and one of Type A 19 .