Quadro-quadric cremona transformations in low dimensions via the JC-correspondence

Mathematics – Algebraic Geometry

Scientific paper

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22 pages, 9 figures

Scientific paper

We apply the results of arXiv:1109.3573 to study quadro-quadric Cremona
transformations in low-dimensional projective spaces. In particular we describe
new very simple families of such birational maps and obtain complete and
explicit classifications in dimension four and five.

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