A note on automorphisms of the affine Cremona group

@inproceedings{Stampfli2013ANO,
  title={A note on automorphisms of the affine Cremona group},
  author={Immanuel Stampfli},
  year={2013}
}
  • Immanuel Stampfli
  • Published 2013
  • Mathematics
  • Let G be an ind-group and let U⊆G be a unipotent ind-subgroup. We prove that an abstract group automorphism θ:G→G maps U isomorphically onto a unipotent ind-subgroup of G, provided that θ fixes a closed torus T⊆G, which normalizes U and the action of T on U by conjugation fixes only the neutral element. As an application we generalize a result by Hanspeter Kraft and the author as follows: If an abstract group automorphism of the affine Cremona group G3 in dimension 3 fixes the subgroup of tame… CONTINUE READING

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    On homomorphisms between Cremona groups

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    The Cremona group

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