Abstract
We extend the Altmann-Hausen presentation of normal affine algebraic \(\mathbb {C}\)-varieties endowed with effective torus actions to the real setting. In particular, we focus on actions of quasi-split real tori, in which case we obtain a simpler presentation.
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Notes
That is, effective actions of a torus T such that \(\text {dim}(X)=\text {dim}(T)+1\)
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Acknowledgements
The author is grateful to Charlie Petitjean for stimulating discussions about Altmann-Hausen theory on the field of complex numbers. The author would like to thank the anonymous referee for her/his comments and suggestions that helped him to improve the quality of the article.
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Gillard, PA. Real torus actions on real affine algebraic varieties. Math. Z. 301, 1507–1536 (2022). https://doi.org/10.1007/s00209-021-02958-6
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DOI: https://doi.org/10.1007/s00209-021-02958-6