ABSTRACT

In this chapter, X is a quasi-smooth complex space. This means that there exists a resolution of singularities of X , i.e. a commutative diagram:

E˜ i

E j

X

(3.1)

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, with the additional assumption that E and E˜ are smooth manifolds.