论文标题
双盖和矢量捆绑额第二
Double covers and vector bundles of rank two
论文作者
论文摘要
在2017年，加泰亚语 - 佩罗尼（Perroni）在双盖的皮卡德（Picard）组与一组对向量捆绑的载体束和基本空间上矢量捆绑包的一定形态之间的自然对应关系。在本文中，我们描述了从PICARD组引起的后一组的组结构，该组在第二等级的向量束的过渡函数方面。这项研究来自平面曲线嵌入式拓扑的研究。它还提出了研究双重覆盖的PICARD组的方法，并提出了第二等级的矢量束的构建。
In 2017, Catanese--Perroni gave a natural correspondence between the Picard group of a double cover and a set of pairs of a vector bundle of rank two and a certain morphism of vector bundles on the base space. In this paper, we describe the group structure of the latter set induced from the Picard group in terms of transition functions of vector bundles of rank two. This study is derived from the study of the embedded topology of plane curves. It also proposes approaches to the study of Picard groups of double covers, and to the construction of vector bundles of rank two.
