chapter  Chapter 5
30 Pages

Holonomic Ɗ-modules

ByGoro Kato, Daniele C. Struppa

With the preparation in Chapters III and IV, we focus on basic themes in this chapter. The Cauchy-Kowalewsky theorem in the language of Ɗ-modules is given in Section 2. In Section 3, the direct image of a Ɗ-module is defined. The most significant theorem in the fundamental theory of holonomic Ɗ-modules, due to Kashiwara, is discussed in Section 4.