Non-symplectic automorphisms of order 3 on K3 surfaces

Non-symplectic automorphisms of order 3 on K3 surfaces
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K3 曲面上的 3 阶非辛自同构

DOI:
10.1007/s00208-008-0260-1
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发表时间:
2008
影响因子:
1.4
通讯作者:
A. Sarti
A. Sarti
中科院分区:
数学2区
文献类型:
--
作者:
M. Artebani;A. Sarti

文献摘要

被引文献

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本文研究了具有3阶非辛自同构的K3曲面。特别是,我们分类的拓扑结构的固定轨迹,这样的自同构,我们表明,它决定的行动上同调。这使我们能够描述模空间的结构,并表明它有三个不可约分量。
In this paper we study K3 surfaces with a non-symplectic automorphism of order 3. In particular, we classify the topological structure of the fixed locus of such automorphisms and we show that it determines the action on cohomology. This allows us to describe the structure of the moduli space and to show that it has three irreducible components.