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

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 Added by Olivier Benoist
 Publication date 2020
  fields
and research's language is English




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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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