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arXiv · 1203.5690

Special birational transformations of projective spaces

Alberto Alzati·José Carlos Sierra
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Abstract

Extending some results of Crauder and Katz, and Ein and Shepherd-Barron on special Cremona transformations, we study birational transformations of the complex projective spaces onto prime Fano manifolds such that the base locus X of the transformations is smooth, irreducible and reduced. We get a complete classification when X has dimension 1, or dimension 2, or codimension 2. We also get partial results when X has dimension 3.

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Alberto Alzati, José Carlos Sierra. 2013-09-12. Special birational transformations of projective spaces. https://arxiv.org/abs/1203.5690

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