Conjugacy classes of affine automorphisms of K^n and linear automorphisms of P^n in the Cremona groups

Details Conjugacy classes of affine automorphisms of K^n and linear automorphisms of P^n in the Cremona groups Conjugacy classes of affine automorphisms of K^n and linear automorphisms of P^n in the Cremona groups

2006-10-05

arxiv.org/abs/math/0610196v1

Manuscripta Math. 119 (2006), no. 2, 225--241

Mathematics

Algebraic Geometry

17 pages, no figures

Scientific paper

10.1007/s00229-005-0617-7

We describe the conjugacy classes of affine automorphisms in the group
$Aut(n,\K)$ (respectively $Bir(\K^n)$) of automorphisms (respectively of
birational maps) of $\K^n$. From this we deduce also the classification of
conjugacy classes of automorphisms of $\Pn$ in the Cremona group $Bir(\K^n)$.

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