On planar Cremona maps of prime order

Details On planar Cremona maps of prime order On planar Cremona maps of prime order

2003-02-14

arxiv.org/abs/math/0302175v2

Nagoya Math. J. 174 (2004), 1-28.

Mathematics

Algebraic Geometry

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, foll

Scientific paper

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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