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Elements generating a proper normal subgroup of the Cremona group

Abstract : Consider an algebraically closed field k and the Cremona group of all birational transformations of the projective plane over k. We characterize infinite order elements of this group having a non-zero power generating a proper normal subgroup of the Cremona group.
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https://hal-insu.archives-ouvertes.fr/insu-02183141
Contributor : Vincent Guirardel Connect in order to contact the contributor
Submitted on : Monday, July 15, 2019 - 10:11:34 AM
Last modification on : Tuesday, August 24, 2021 - 11:53:06 AM

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Serge Cantat, Vincent Guirardel, Anne Lonjou. Elements generating a proper normal subgroup of the Cremona group. International Mathematics Research Notices, Oxford University Press (OUP), 2021, 10, pp.7339-7371. ⟨10.1093/imrn/rnaa026⟩. ⟨insu-02183141⟩

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