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UNIFORMLY RATIONAL VARIETIES WITH TORUS ACTION

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Abstract

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.

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Authors and Affiliations

  1. Instituto de Matemática y Física, Universidad de Talca, Casilla 721, Talca, Chile

    ALVARO LIENDO & CHARLIE PETITJEAN

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  1. ALVARO LIENDO
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  2. CHARLIE PETITJEAN
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Correspondence to ALVARO LIENDO.

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LIENDO, A., PETITJEAN, C. UNIFORMLY RATIONAL VARIETIES WITH TORUS ACTION. Transformation Groups 24, 149–153 (2019). https://doi.org/10.1007/s00031-017-9451-8

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