Algebraic K3 surfaces with finite automorphism groups
Algebraic K3 surfaces with finite automorphism groups
复制标题
具有有限自同构群的代数 K3 曲面
DOI：
10.1017/s0027763000001653
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发表时间：
1989
影响因子：
0.8
通讯作者：
S. Kondō
中科院分区：
文献类型：
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作者：
S. Kondō
本文的目的是证明文[3]中的结果。设X是定义在C上的代数曲面，如果X的标准线丛Kx平凡且维H1(X，ϕX)=0，则称X为K3曲面。众所周知，X的自同构群Aut(X)与因子群O(Sx)/Wx同构，直到一个有限群，其中O(Sx)是X的Picard格的自同构群(即Sx是X的Picard群及其交形式)，Wx是由与Sx的平方(-2)元素有关的所有反射生成的子群([11])。最近，Niklin[8]，[10]对具有有限自同构群的代数K3曲面的Picard格进行了完全分类。
The purpose of this paper is to give a proof to the result announced in [3]. Let X be an algebraic surface defined over C. X is called a K3 surface if its canonical line bundle Kx is trivial and dim H1(X, ϕX) = 0. It is known that the automorphism group Aut (X) of X is isomorphic, up to a finite group, to the factor group O(Sx)/Wx , where O(Sx) is the automorphism group of the Picard lattice of X (i.e. Sx is the Picard group of X together with the intersection form) and Wx is its subgroup generated by all reflections associated with elements with square (–2) of Sx ([11]). Recently Nikulin [8], [10] has completely classified the Picard lattices of algebraic K3 surfaces with finite automorphism groups.
DOI：
--
发表时间：
1972
期刊：
--
影响因子：
--
作者：
塩田 徹治
通讯作者：
塩田 徹治