论文标题
在Enriques表面上的12个合理曲线
12 rational curves on Enriques surfaces
论文作者
论文摘要
给定d，我们证明，任何极化的Enrique表面（在与2个特征不同或具有光滑K3盖的特征范围内）大于12d^2的程度最多包含12个理性曲线。对于d> 2，我们构建了高度含量的Enriques示例，该表面完全包含12个有理学D曲线。
Given d in IN, we prove that any polarized Enriques surface (over any field of characteristic different from 2 or with a smooth K3 cover) of degree greater than 12d^2 contains at most 12 rational curves of degree at most d. For d>2 we construct examples of Enriques surfaces of high degree that contain exactly 12 rational degree d curves.
