论文标题
计算Grothendieck点残留映射的有效方法
An effective method for computing Grothendieck point residue mappings
论文作者
论文摘要
在计算复杂分析的背景下，考虑了粒度点残基。提出了一种用于计算Grothendieck点残基映射和残基的新方法。我们方法的基本思想是使用Grothendieck局部二元性和当地同胞学课程的转型定律。设计了一种新工具，以解决效率，以解决本地戒指中扩展的理想会员问题。所得算法用一个示例描述了它们。还将提出的方法扩展到参数案例作为应用程序。
Grothendieck point residue is considered in the context of computational complex analysis. A new effective method is proposed for computing Grothendieck point residues mappings and residues. Basic ideas of our approach are the use of Grothendieck local duality and a transformation law for local cohomology classes. A new tool is devised for efficiency to solve the extended ideal membership problems in local rings. The resulting algorithms are described with an example to illustrate them. An extension of the proposed method to parametric cases is also discussed as an application.
