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On planar Cremona maps of prime order

Tommaso de Fernex
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Abstract

This paper contains a new proof of the classification of elements of prime order in the Cremona group Bir(P^2), up to conjugation. In addition, we give explicit geometric constructions of these Cremona transformations, and provide a parameterization of their conjugacy classes. Analogous constructions in higher dimensions are also discussed.

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Tommaso de Fernex. 2003-03-07. On planar Cremona maps of prime order. https://arxiv.org/abs/math/0302175

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