chapter  Chapter 4
26 Pages

Functors Associated with Ɗ-modules

ByGoro Kato, Daniele C. Struppa

In this chapter we study some fundamental functors associated with the Ɗ-modules which we have introduced in Chapter III. Before we get to the de Rham functor in Section 4.2, we remind the reader the conditions which an O X − Module ℳ must satisfy in order to be a ƊX -module. In particular, we will show that ℋ o m O X ( Ω X n , − ) and − ⊗ Ω X n are one the inverse of the other when acting on the categories of left and right ƊX -modules.