On K3 Surfaces Admitting Finite Non-Symplectic Group Actions
On K3 Surfaces Admitting Finite Non-Symplectic Group Actions
复制标题
在 K3 曲面上承认有限非辛群作用
DOI：
10.4171/rmi/716
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发表时间：
1998
影响因子：
--
通讯作者：
K. Oguiso
中科院分区：
文献类型：
--
作者：
Natsumi Machida;K. Oguiso
对于复K3曲面X及其有限自同构群G的一对(X，G)，我们称I(X，G)的值I(X，G)：=|Im(G→aut(H2，0(X)|为超越值，称I(X，G)的欧拉数ϕ(I(X，G))为超越指标。本文将具有最大超越指数20的对(X，G)和具有I(X，G)=40的对(X，G)分类为同构。我们还确定了超越值集，并利用它确定了只有正则奇点和具有数值平凡正则Weil因子的三重复射影的整体正则指数集。
For a pair (X, G) of a complex K3 surface X and its finite automorphism group G, we call the value I(X, G ): =| Im(G → Aut(H 2,0 (X)))| the transcendental value and the Euler number ϕ(I(X, G)) of I(X, G) the transcendental index. This paper classifies the pairs (X, G) with the maximal transcendental index 20 and the pair (X, G) with I(X, G) = 40 up to isomorphisms. We also determine the set of transcendental values and apply this to determine the set of global canonical indices of complex projective threefolds with only canonical singularities and with numerically trivial canonical Weil divisor.