On Cremona Transformations of P^3 which factorize in a minimal form

Abstract

We consider Cremona transformations of the complex projective space of dimension 3 which factorize as a product of at most two elementary links of type II, without small contractions, connecting two Fano 3-folds. We show that there are essentially eight classes of such transformations and we give a geometric description of elements in each of these classes.

25 pages; two references added

References in corpus (2)

• On Birational Transformations of Pairs in the Complex Plane
• Groupes de Cremona, connexité et simplicité