1 citations · 1 across the 6 of their papers we have counts for
8 papers
Codimension two torus actions on the affine space
Alvaro Liendo, Charlie Petitjean
In this paper, we classify smooth, contractible affine varieties equipped with faithful torus actions of complexity two, having a unique fixed point and a two-dimensional algebraic…
Rational real algebraic models of compact differential surfaces with circle actions
Adrien Dubouloz, Charlie Petitjean
We give an algebro-geometric classification of smooth real affine algebraic surfaces endowed with an effective action of the real algebraic circle group up to equiva…
Smooth contractible threefolds with hyperbolic -actions via ps-divisors
Charlie Petitjean
The aim of this note is to give an alternative proof of a theorem of Koras and Russell, that is, a characterization of smooth contractible affine varieties endowed with a hyperboli…
Uniformly rational varieties with torus action
Alvaro Liendo, Charlie Petitjean
A smooth variety is called uniformly rational if every point admits a Zariski open neighborhood isomorphic to a Zariski open subset of the affine space. In this note we show that e…
Smooth varieties with torus actions
Alvaro Liendo, Charlie Petitjean
In this paper we provide a characterization of smooth algebraic varieties endowed with a faithful algebraic torus action in terms of a combinatorial description given by Altmann an…
Automorphism groups of Koras-Russell threefolds of the second kind
Charlie Petitjean
We determine the automorphism groups of Koras-Russell threefolds of the second kind. In particular we show that these groups are semi-direct products of two subgroups, one given by…
Equivariantly uniformly rational varieties
Charlie Petitjean
We introduce equivariant versions of uniform rationality: given an algebraic group G, a G-variety is called G-uniformly rational (resp. G-linearly uniformly rational) if every poin…
Cyclic covers of affine T-varieties
Charlie Petitjean
We consider normal affine T-varieties X endowed with an action of finite abelian group G commuting with the action of T. For such varieties we establish the existence of G-equivari…