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