Uniformly Rational Varieties with Torus Action

Alvaro Liendo (1) , Charlie Petitjean (1)

1 Instituto de Matematica y Fisica

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 every smooth and rational affine variety endowed with an algebraic torus action such that the algebraic quotient has dimension 0 or 1 is uniformly rational.

Domaines: Mathématiques [math]

Alvaro Liendo, Charlie Petitjean. Uniformly Rational Varieties with Torus Action. Transformation Groups, 2019, 24 (1), pp.149-153. ⟨10.1007/s00031-017-9451-8⟩. ⟨hal-02469018⟩