论文标题
带有特殊双色纤维的明显Godeaux表面
Marked Godeaux surfaces with special bicanonical fibers
论文作者
论文摘要
在本文中，我们研究了具有特殊双色纤维的标记数值godeaux表面。基于我们的构造方法，我们为过度纤维化的双色纤维和扭转纤维的存在提供了完整的特征。此外，我们描述了Reid和Miyaoka的家庭如何带有Torsion $ \ Mathbb {Z}/3 \ Mathbb {Z} $和$ \ Mathbb {Z}/5 \ Mathbb {Z} $在我们的同性恋环境中出现。
In this paper we study marked numerical Godeaux surfaces with special bicanonical fibers. Based on our construction method of marked Godeaux surfaces we give a complete characterization for the existence of hyperelliptic bicanonical fibers and torsion fibers. Moreover, we describe how the families of Reid and Miyaoka with torsion $\mathbb{Z}/3\mathbb{Z}$ and $\mathbb{Z}/5\mathbb{Z}$ arise in our homological setting.
