Horizontal Ga-actions on affine T-varieties of complexity one

Kevin Langlois

Horizontal Ga-actions on affine T-varieties of complexity one

Algebraic Geometry 2019-04-08 v2

Authors: Kevin Langlois

Abstract

We classify the $\mathbb{G}_{a}$ -actions on normal affine varieties defined over any field that are horizontal with respect to a torus action of complexity one. This generalizes previous results that were available for perfect ground fields (cf. [Flenner-Zaidenberg2005, Liendo2010, L-Liendo2016]).

Keywords

ga-actions affine t-varieties complexity one torus action normal affine varieties

Cite

@article{arxiv.1805.08001,
  title  = {Horizontal Ga-actions on affine T-varieties of complexity one},
  author = {Kevin Langlois},
  journal= {arXiv preprint arXiv:1805.08001},
  year   = {2019}
}

Comments

14 pages. To appear in Le Matematiche

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