On the subvarieties with nonsingular real loci of a real algebraic variety
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866909264428138496 |
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| author | Benoist, Olivier |
| author_facet | Benoist, Olivier |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_06424 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On the subvarieties with nonsingular real loci of a real algebraic variety Benoist, Olivier Algebraic Geometry 14P05, 14C15, 13C40, 55N22 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. |
| title | On the subvarieties with nonsingular real loci of a real algebraic variety |
| topic | Algebraic Geometry 14P05, 14C15, 13C40, 55N22 |
| url | https://arxiv.org/abs/2005.06424 |