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

On the most algebraic K3 surfaces and the most extremal log Enriques surfaces
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在最代数 K3 曲面和最极值对数 Enriques 曲面上

DOI:
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发表时间:
1996
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通讯作者:
De
De
中科院分区:
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文献类型:
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作者:
K. Oguiso;De

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我们将刻画判别式3或4的唯一K3曲面,Vinberg称之为最代数的K3曲面,根据其上自同构的固定轨迹,我们证明了直到同构为止,只有一个D型有理对数Eriques曲面和一个A型有理对数Eriques曲面.
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 .