Elements generating a proper normal subgroup of the Cremona group
arXiv:1907.03450 · doi:10.1093/imrn/rnaa026
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.
To appear in International Mathematics Research Notices