论文标题
某些Enriques表面的自动形态组
Automorphism groups of certain Enriques surfaces
论文作者
论文摘要
我们计算某些Enriques表面的自动形态组。我们研究的Enriques表面包括非常通用的$ n $ nodal Enriques表面和非常通用的Cuspidal Enriques表面。我们还描述了自动形态组对平滑理性曲线集和椭圆纤维组集的作用。
We calculate the automorphism group of certain Enriques surfaces. The Enriques surfaces that we investigate include very general $n$-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.