45 citations · 120 across the 12 of their papers we have counts for
13 papers
The derived length of subgroups of the Cremona group
Jean-Philippe Furter, Isac Hedén
We prove that the maximal derived length of a solvable subgroup of the plane Cremona group over is equal to . The main difficulty is the case of subgroups containing…
Iterated polynomials are dense
Pascal Autissier, Jean-Philippe Furter, Egor Yasinsky
For any infinite field k and any positive integer r, we show constructively that the map sending each polynomial P k[x] to its r-th iterate is dominant in various inductive l…
Borel subgroups of the plane Cremona group
Jean-Philippe Furter, Isac Hedén
It is well known that all Borel subgroups of a linear algebraic group are conjugate. This result also holds for the automorphism group of the affine…
On the geometry of the automorphism groups of affine varieties
Jean-Philippe Furter, Hanspeter Kraft
This article is a survey on ind-varieties and ind-groups introduced by Shafarevich in 1965, with a special emphasis on automorphism groups of affine varieties and actions of ind-gr…
Length in the Cremona group
Jérémy Blanc, Jean-Philippe Furter
The Cremona group is the group of birational transformations of the plane. A birational transformation for which there exists a pencil of lines which is sent onto another pencil of…
Exceptional isomorphisms between complements of affine plane curves
Jérémy Blanc, Jean-Philippe Furter, Mattias Hemmig
This article describes the geometry of isomorphisms between complements of geometrically irreducible closed curves in the affine plane , over an arbitrary field, whic…