论文标题
在尺寸的相对操作上
On the relative opers in dimension one
论文作者
论文摘要
我们研究了相对维度的紧凑型复杂歧管的复杂分析家族的相对操作。我们介绍了由与相对全态连接相关的第二种基本形式引起的相对操作的概念。我们还研究了紧凑型复杂歧管的复杂分析家族的相对差异操作员，其符号是身份自动形态。我们表明，第二种基本形式引起的一组等效相对作用是与一组等效相对差异操作员集合的射击，其符号是身份自动形态。
We investigate the relative opers over the complex analytic family of compact complex manifolds of relative dimension one. We introduce the notion of relative opers arising from the second fundamental form associated with a relative holomorphic connection. We also investigate the relative differential operators over the complex analytic family of compact complex manifolds whose symbol is the identity automorphism. We show that the set of equivalent relative opers arising from the second fundamental form is in bijective correspondence with the set of equivalent relative differential operators whose symbol is the identity automorphism.
