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

Jérémy Blanc
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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 $Bir(\K^n)$.

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Jérémy Blanc. 2006-10-05. Conjugacy classes of affine automorphisms of K^n and linear automorphisms of P^n in the Cremona groups. https://doi.org/10.1007/s00229-005-0617-7

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