Automorphism Groups of Certain Enriques Surfaces

Automorphism Groups of Certain Enriques Surfaces
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DOI:
10.1007/s10208-021-09530-y
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发表时间:
2020-12
影响因子:
3
通讯作者:
Simon Brandhorst;I. Shimada
Simon Brandhorst;I. Shimada
中科院分区:
数学1区
文献类型:
--
作者:
Simon Brandhorst;I. Shimada

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我们计算了某些Enriques曲面的自同构群。我们研究的Enriques曲面包括非常一般的-节点的Enriques曲面和非常一般的cus尖的Enriques曲面。我们还描述了自同构群对光滑有理曲线集和椭圆颤振集的作用。
We calculate the automorphism group of certain Enriques surfaces. The Enriques surfaces that we investigate include very generaln-nodal Enriques surfaces and very general cuspidal Enriques surfaces. We also describe the action of the automorphism group on the set of smooth rational curves and on the set of elliptic fibrations.