arXiv subjects

Susanna Zimmermann

Publications and source records attributed to Susanna Zimmermann.

20 records · Page 2Linked to original sources

arXiv2016

The decomposition group of a line in the plane

We show that the decomposition group of a line $L$ in the plane, i.e. the subgroup of plane birational transformations that send $L$ to itself birationally, is generated by its elements of degree 1 and one element of degree 2, and that it does not decompose as a non-trivial amalgamated product.

math.AG↗

arXiv2015

Topological simplicity of the Cremona groups

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.

math.AG↗