Enriques surfaces with finite automorphism group in positive characteristic
Enriques surfaces with finite automorphism group in positive characteristic
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DOI：
10.14231/ag-2019-027
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发表时间：
2017-03
影响因子：
1.5
通讯作者：
G. Martin
中科院分区：
文献类型：
--
作者：
G. Martin
我们对具有光滑K3覆盖和有限自同构群的任意正特征的Enriques曲面进行了分类。分类与复数相同，除了一些类型在小特征中缺失。此外，我们给出了这些曲面的模的完整描述。最后，我们实现了素域$\mathbb{F}_p$和$\mathbb{Q}$上具有有限自同构群的所有类型的Enriques曲面，只要它们存在。
We classify Enriques surfaces with smooth K3 cover and finite automorphism group in arbitrary positive characteristic. The classification is the same as over the complex numbers except that some types are missing in small characteristics. Moreover, we give a complete description of the moduli of these surfaces. Finally, we realize all types of Enriques surfaces with finite automorphism group over the prime fields $\mathbb{F}_p$ and $\mathbb{Q}$ whenever they exist.