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Sur les automorphismes du groupe de Cremona

Published online by Cambridge University Press:  24 November 2006

Julie Déserti
Affiliation:
IRMAR, UMR 6625 du CNRS, Université de Rennes I, 35042 Rennes, [email protected]
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Abstract

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We prove that an automorphism of the group of birational transformations of the complex projective plane is the composition of an interior automorphism and an automorphism of the field $\mathbb{C}$. The proof is based on a study of maximal abelian subgroups of the Cremona group.

Type
Research Article
Copyright
Foundation Compositio Mathematica 2006