On planar Cremona maps of prime order
By Tommaso de Fernex. 2003
71 citations recorded by the source corpus.
This paper contains a new proof of the classification of elements of prime order in the Cremona group Bir(P^2), up to conjugation. In addition, we give explicit geometric constructions of these Cremona transformations, and provide a parameterization of their conjugacy classes. Analogous constructions in higher dimensions are also discussed.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/0314468c332538d4ae27a6c1ef3e4c6d1836bfc2
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In Algebra and Number Theory
In Geometry and Topology
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- Serge Cantat
- D. Huybrechts
- Ivan Cheltsov
- Ingrid Bauer
- F. Catanese
Citations in the corpus
- Finite Subgroups of the Plane Cremona Group (2006, background): “Nowadays the theorem follows easily from a G-equivariant version of Mori theory (see [43], Example 2.18) and the proof can be found in literature ([8], [ 23 ]).”
- Linearisation of finite Abelian subgroups of the Cremona group of the plane (2006, background): “ the group is infinite, see [BPV] and [Bla5]. In fact, the set of non-rational curves fixed by the elements of a group is a conjugacy invariant very useful in describing conjugacy classes (see [Ba-Be], [dFe], [Bla4]). 1.2 How to decide Given a finite Abelian group of birational transformations of a (ra”