Algebraic D-Modules and Weyl Algebras: A Constructive Approach
| Autor: | Sarrazola Alzate, Andrés |
This monograph offers a comprehensive exposition of the theory of algebraic ��-modules developed as a natural synthesis of analysis, geometry, and homological algebra. From the construction of the sheaf of differential operators to the study of holonomic and regular singular modules, it traces the deep categorical structures that underlie the modern formulation of the Riemann–Hilbert correspondence. The presentation emphasizes the functorial perspective—direct and inverse images, duality, and extraordinary pull-back—revealing the geometric essence of the theory through its characteristic varieties and the invariance properties that govern them.