On planar Cremona maps of prime order
Algebraic Geometry
2007-05-23 v2 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.math/0302175,
title = {On planar Cremona maps of prime order},
author = {Tommaso de Fernex},
journal= {arXiv preprint arXiv:math/0302175},
year = {2007}
}
Comments
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