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arXiv · 2005.06424

On the subvarieties with nonsingular real loci of a real algebraic variety

Olivier Benoist
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Abstract

Let $X$ be a smooth projective real algebraic variety. We give new positive and negative results on the problem of approximating a submanifold of the real locus of $X$ by real loci of subvarieties of $X$, as well as on the problem of determining the subgroups of the Chow groups of $X$ generated by subvarieties with nonsingular real loci, or with empty real loci.

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Olivier Benoist. 2020-05-13. On the subvarieties with nonsingular real loci of a real algebraic variety. https://doi.org/10.2140/gt.2024.28.1693

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