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

Abstract

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 $Bir(\K^n)$.

arXiv comment17 pages, no figures

References in corpus (1)

• Birational involutions of P^2

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