Abstract
Extending some results of Crauder and Katz, and Ein and Shepherd-Barron on special Cremona transformations, we study birational transformations of Pr onto a prime Fano manifold such that the base locus X⊂Pr is smooth irreducible and reduced. The main results are a complete classification when X has either dimension 1 and 2, or codimension 2. Partial results are also obtained when X has dimension 3.
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