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arXiv · 1907.03450

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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Serge Cantat, Vincent Guirardel, Anne Lonjou. 2020-05-12. Elements generating a proper normal subgroup of the Cremona group. https://doi.org/10.1093/imrn%2Frnaa026

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