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).Comment: 17 pages, no figure