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Journal Articles International Mathematics Research Notices Year : 2021

Elements generating a proper normal subgroup of the Cremona group

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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.

Dates and versions

insu-02183141 , version 1 (15-07-2019)

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