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Conjugacy classes of affine automorphisms of and linear automorphisms of ℙn in the Cremona groups

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Abstract

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

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  1. Section de mathématiques, Université de Genève, 2-4 rue du Lièvre, CP 64, 1211, Genève 4, Switzerland

    Jérémy Blanc

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  1. Jérémy Blanc
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Correspondence to Jérémy Blanc.

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Blanc, J. Conjugacy classes of affine automorphisms of and linear automorphisms of ℙn in the Cremona groups. manuscripta math. 119, 225–241 (2006). https://doi.org/10.1007/s00229-005-0617-7

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  • DOI: https://doi.org/10.1007/s00229-005-0617-7

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