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arXiv · 1511.08907

Topological simplicity of the Cremona groups

Jérémy Blanc·Susanna Zimmermann
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Abstract

The Cremona group is topologically simple when endowed with the Zariski or Euclidean topology, in any dimension $\ge 2$ and over any infinite field. Two elements are moreover always connected by an affine line, so the group is path-connected.

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Jérémy Blanc, Susanna Zimmermann. 2015-11-28. Topological simplicity of the Cremona groups. https://doi.org/10.1353/ajm.2018.0032

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