On planar Cremona maps of prime order

2003/02/28 by Tommaso de Fernex · 1 citation
Mathematics · #math.AG #math.AC #msc:14E07

paper · pdf

published as Nagoya Math. J. 174 (2004), 1-28. · 21 pages; AMS-LaTeX; v2: proofs of Proposition 4.3.2 (now 4.3.1) and Lemma 4.4.1 semplified, and few other minor changes, following referee's comments; one reference added

arxiv created 2003/03/07 · arxiv updated 2009/11/30

Abstract

This paper contains a new proof of the classification of elements of prime order in the Cremona group Bir(P²), 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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• Conjugacy classes of linear actions in the plane Cremona group

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