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math.AG2015★ 4 cited
Topological simplicity of the Cremona groups
Jérémy Blanc, Susanna Zimmermann
The Cremona group is topologically simple when endowed with the Zariski or Euclidean topology, in any dimension and over any infinite field. Two elements are moreover alway…
math.AG2015
Algebraic structures of groups of birational transformations
Jérémy Blanc
A priori, the set of birational transformations of an algebraic variety is just a group. We survey the possible algebraic structures that we may add to it, using in particular para…