The classification of purely non-symplectic automorphisms of high order on K3 surfaces

The classification of purely non-symplectic automorphisms of high order on K3 surfaces
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DOI:
10.1016/j.jalgebra.2019.05.016
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发表时间:
2016-04
期刊:
影响因子:
0.9
通讯作者:
Simon Brandhorst
Simon Brandhorst
中科院分区:
数学3区
文献类型:
--
作者:
Simon Brandhorst

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一个K3曲面的n阶自同构称为纯非辛的,如果它将全纯辛形式乘以一个本原的n阶单位根。本文给出了φ(n)≥ 12的纯非辛自同构的分类,其中φ表示Euler函数.
An automorphism of order n of a K3 surface is called purely non-symplectic if it multiplies the holomorphic symplectic form by a primitive n-th root of unity. We give the classification of purely non-symplectic automorphisms with φ (n)≥ 12 where φ denotes the Euler totient function.