Moduli and periods of simply connected Enriques surfaces
Moduli and periods of simply connected Enriques surfaces
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简单连接的 Enriques 曲面的模数和周期
DOI：
10.1007/978-1-4612-1974-3_5
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
N. Shepherd
中科院分区：
文献类型：
--
作者：
T. Ekedahl;J. Hyland;N. Shepherd
本文描述了特征为2的单连通Enriques曲面的周期映射，其典型双覆盖为K3。这些曲面的模栈有一个Deligne-Mumford商，它是周期空间上$\mathbb P^1$-丛的开子栈。我们还给出了一些一般性的结果有关的地方和全球模的代数簇和描述的差异，在他们的尺寸方面的失败的自同构群计划减少。
We describe a period map for those simply connected Enriques surfaces in characteristic 2 whose canonical double cover is K3. The moduli stack for these surfaces has a Deligne-Mumford quotient that is an open substack of a $\mathbb P^1$-bundle over the period space. We also give some general results relating local and global moduli for algebraic varieties and describe the difference in their dimensions in terms of the failure of the automorphism group scheme to be reduced.