On the rationality of some real threefolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914495667896320 |
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| author | Benoist, Olivier Pirutka, Alena |
| author_facet | Benoist, Olivier Pirutka, Alena |
| contents | We study the rationality of some geometrically rational three-dimensional conic and quadric surface bundles, defined over the reals and more general real closed fields, for which the real locus is connected and the intermediate Jacobian obstructions to rationality vanish. We obtain both negative and positive results, using unramified cohomology and birational rigidity techniques, as well as concrete rationality constructions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13624 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the rationality of some real threefolds Benoist, Olivier Pirutka, Alena Algebraic Geometry 14E08, 14P99 We study the rationality of some geometrically rational three-dimensional conic and quadric surface bundles, defined over the reals and more general real closed fields, for which the real locus is connected and the intermediate Jacobian obstructions to rationality vanish. We obtain both negative and positive results, using unramified cohomology and birational rigidity techniques, as well as concrete rationality constructions. |
| title | On the rationality of some real threefolds |
| topic | Algebraic Geometry 14E08, 14P99 |
| url | https://arxiv.org/abs/2412.13624 |