ABSTRACT

In this chapter, we introduce logarithmic differential forms in the most general case of a singular open analytic space X \Q which is the complement of a subspace Q of a compact analytic space X .

We take a desingularization of X :

E˜ i

E j

X

where E ⊂ X is a nowhere dense closed subspace with sing(X) ⊂ E, and X˜ is a smooth manifold.