Certaines fibrations en surfaces quadriques réelles
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910016936607744 |
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| author | Colliot-Thélène, Jean-Louis Pirutka, Alena |
| author_facet | Colliot-Thélène, Jean-Louis Pirutka, Alena |
| contents | We consider the question whether a real threefold X fibred into quadric surfaces over the real projective line is stably rational (over R) if the topological space X(R) is connected. We give a counterexample. When all geometric fibres are irreducible, the question is open. We investigate a family of such fibrations for which the intermediate jacobian technique is not available. We produce two independent methods which in many cases enable one to prove decomposition of the diagonal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00463 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Certaines fibrations en surfaces quadriques réelles Colliot-Thélène, Jean-Louis Pirutka, Alena Algebraic Geometry Number Theory 14E08, 14F20, 14F22, 14M20, 14C25, 14D10, 14P99 We consider the question whether a real threefold X fibred into quadric surfaces over the real projective line is stably rational (over R) if the topological space X(R) is connected. We give a counterexample. When all geometric fibres are irreducible, the question is open. We investigate a family of such fibrations for which the intermediate jacobian technique is not available. We produce two independent methods which in many cases enable one to prove decomposition of the diagonal. |
| title | Certaines fibrations en surfaces quadriques réelles |
| topic | Algebraic Geometry Number Theory 14E08, 14F20, 14F22, 14M20, 14C25, 14D10, 14P99 |
| url | https://arxiv.org/abs/2406.00463 |