ABSTRACT

Let X be a complex space. We denote by CX the constant sheaf on X . When X is smooth we denote by E·X the De Rham complex of differential forms on X . There exists a resolution of singularities of X , i.e. a commutative diagram:

E˜ i

E j

X

(1.1)

where E ⊂ X is a nowhere dense closed subspace, containing the singularities of X , j : E → X is the natural inclusion, X˜ is a smooth manifold and π is a proper modification inducing an isomorphism X˜ \ E˜ X \ E.