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An introduction to $$\mathcal{D}$$-modules. (English) Zbl 0816.35004
This work is based on lectures given at the “Journées d’Analyse Algébrique” held at the University of Liège in March 1993 by the author and is a nice exposition on the algebraic theory of systems of partial differential equations in the complex domain. He performs a detailed study of differential operators and its modules. In particular, he proves its coherence and computes its homological dimension.

##### MSC:
 35A27 Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs 35A10 Cauchy-Kovalevskaya theorems