Add to ORKGWe study the group Tame(SL$_2$) of tame automorphisms of a smooth affine 3-dimensional quadric, which we can view as the underlying variety of SL(2,$\mathbb{C}$). We construct a square complex on which the group admits a natural cocompact action, and we prove that the complex is CAT(0) and hyperbolic. We propose two applications of this construction: We show that any finite subgroup in Tame(SL$_2$) is linearizable, and that Tame(SL$_2$) satisfies the Tits alternative
The automorphisms of a two-generator free group \mathsf F_2 acting on the space of orientation-prese...
Koras-Russell threefolds are certain smooth contractible complex hypersurfaces in affine complex fou...
In this thesis we prove that an automorphism of the group of polynomial automorphisms of the affine ...
We study the group Tame(SL$_2$) of tame automorphisms of a smooth affine 3-dimensional quadric, whic...
We study the group Tame(SL 2 ) of tame automorphisms of a smooth affine 3-dimensional quadric, which...
We generalize the notion of a tame automorphism to the context of an affine quadric threefold and we...
International audienceWe prove that the group STame($k^3$) of special tame automorphisms of the affi...
We provide explicit families of tame automorphisms of the complex affine three-space which degenerat...
International audienceWe study the group Tame($\mathbf A^3$) of tame automorphisms of the 3-dimensio...
International audienceWe prove the existence of wild automorphisms on an affine quadric threefold. T...
31 pages, in FrenchInspired by the Bruhat-Tits building of SL$_n$($\mathbb Q_p$), we construct a com...
To appear in Proceedings of the GABAG2012 conferenceThe Russell cubic is a smooth contractible affin...
Rosay and Rudin introduced the notion of tame discrete subsets of the affine complex space and inves...
AbstractIn a recent paper it has been established that over an Artinian ring R all two-dimensional p...
We consider actions of automorphism groups of free groups by semisimple isometries on complete CAT(0...
The automorphisms of a two-generator free group \mathsf F_2 acting on the space of orientation-prese...
Koras-Russell threefolds are certain smooth contractible complex hypersurfaces in affine complex fou...
In this thesis we prove that an automorphism of the group of polynomial automorphisms of the affine ...
We study the group Tame(SL$_2$) of tame automorphisms of a smooth affine 3-dimensional quadric, whic...
We study the group Tame(SL 2 ) of tame automorphisms of a smooth affine 3-dimensional quadric, which...
We generalize the notion of a tame automorphism to the context of an affine quadric threefold and we...
International audienceWe prove that the group STame($k^3$) of special tame automorphisms of the affi...
We provide explicit families of tame automorphisms of the complex affine three-space which degenerat...
International audienceWe study the group Tame($\mathbf A^3$) of tame automorphisms of the 3-dimensio...
International audienceWe prove the existence of wild automorphisms on an affine quadric threefold. T...
31 pages, in FrenchInspired by the Bruhat-Tits building of SL$_n$($\mathbb Q_p$), we construct a com...
To appear in Proceedings of the GABAG2012 conferenceThe Russell cubic is a smooth contractible affin...
Rosay and Rudin introduced the notion of tame discrete subsets of the affine complex space and inves...
AbstractIn a recent paper it has been established that over an Artinian ring R all two-dimensional p...
We consider actions of automorphism groups of free groups by semisimple isometries on complete CAT(0...
The automorphisms of a two-generator free group \mathsf F_2 acting on the space of orientation-prese...
Koras-Russell threefolds are certain smooth contractible complex hypersurfaces in affine complex fou...
In this thesis we prove that an automorphism of the group of polynomial automorphisms of the affine ...