26 citations · 63 across the 12 of their papers we have counts for
17 papers
Real forms of Mori fiber spaces with many symmetries
Ronan Terpereau, Susanna Zimmermann
We determine the rational real forms of the complex Mori fiber spaces for which the identity component of the automorphism group is a maximal connected algebraic subgroup of $\math…
Birational involutions of the real projective plane
Ivan Cheltsov, Frédéric Mangolte, Egor Yasinsky +1
We classify birational involutions of the real projective plane up to conjugation. In contrast with an analogous classification over the complex numbers (due to E. Bertini, G. Cast…
Properties of the Cremona group endowed with the Euclidean topology
Hannah Bergner, Susanna Zimmermann
Consider a Cremona group endowed with the Euclidean topology introduced by Blanc and Furter. It makes it a Hausdorff topological group that is not locally compact nor metrisable. W…
Factorization centers in dimension two and the Grothendieck ring of varieties
Hsueh-Yung Lin, Evgeny Shinder, Susanna Zimmermann
We initiate the study of factorization centers of birational maps, and complete it for surfaces over a perfect field in this article. We prove that for every birational automorphis…
Small G-varieties
Hanspeter Kraft, Andriy Regeta, Susanna Zimmermann
An affine varieties with an action of a semisimple group is called "small" if every non-trivial -orbit in is isomorphic to the orbit of a highest weight vector. Such a v…
Algebraic subgroups of the plane Cremona group over a perfect field
Julia Schneider, Susanna Zimmermann
We show that any infinite algebraic subgroup of the plane Cremona group over a perfect field is contained in a maximal algebraic subgroup of the plane Cremona group. We classify th…
Bijective Cremona transformations of the plane
Shamil Asgarli, Kuan-Wen Lai, Masahiro Nakahara +1
We study the birational self-maps of the projective plane over finite fields that induce permutations on the set of rational points. As a main result, we prove that no odd permutat…
Continuous automorphisms of Cremona groups
Christian Urech, Susanna Zimmermann
We show that if a group automorphism of a Cremona group of arbitrary rank is also a homeomorphism with respect to either the Zariski or the Euclidean topology, then it is inner up…
Quotients of higher dimensional Cremona groups
Jérémy Blanc, Stéphane Lamy, Susanna Zimmermann
We study large groups of birational transformations Bir(X), where X is a variety of dimension at least 3, defined over C or a subfield of C. Two prominent cases are when X is the p…
A new presentation of the plane Cremona group
Christian Urech, Susanna Zimmermann
We give a presentation of the plane Cremona group over an algebraically closed field with respect to the generators given by the Theorem of Noether and Castelnuovo. This presentati…
Signature morphisms from the Cremona group over a non-closed field
Stéphane Lamy, Susanna Zimmermann
We prove that the plane Cremona group over a perfect field with at least one Galois extension of degree 8 is a non-trivial amalgam, and that it admits a surjective morphism to a fr…
The decomposition groups of plane conics and plane rational cubics
Tom Ducat, Isac Hedén, Susanna Zimmermann
The decomposition group of an irreducible plane curve is the subgroup of birational maps which restrict to a…
The real plane Cremona group is a non-trivial amalgam
Susanna Zimmermann
We show that the real Cremona group of the plane is a non-trivial amalgam of two groups amalgamated along their intersection and give an alternative proof of its abelianisation.
Infinite algebraic subgroups of the real Cremona group
Maria Fernanda Robayo, Susanna Zimmermann
We give the classification of the maximal infinite algebraic subgroups of the real Cremona group of the plane up to conjugacy and present a parametrisation space of each conjugacy…
The decomposition group of a line in the plane
Isac Hedén, Susanna Zimmermann
We show that the decomposition group of a line in the plane, i.e. the subgroup of plane birational transformations that send to itself birationally, is generated by its ele…
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…
The Abelianisation of the real Cremona group
Susanna Zimmermann
We present the abelianisation of the birational transformations of the real projective plane.