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

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

2011-04-26

arxiv.org/abs/1104.4986v2

Mathematics

Algebraic Geometry

25 pages; two references added

Scientific paper

We consider Cremona transformations of the dimension 3 complex projective
space which factorize as a product of at most 2 elementary links of type II,
without small contractions, connecting two Fano 3-folds. We show there are
exactly twelve classes of such transformations. Moreover, we give a geometric
description of the elements in each of these classes.

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