Flasque quasi-resolutions of algebraic varieties
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916141655392256 |
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| author | Pirani, Mattia |
| author_facet | Pirani, Mattia |
| contents | Flasque resolutions play an important role in understanding birational properties of algebraic tori. For instance, Colliot-Thélène and Sansuc have used them to compute $R$-equivalence classes of algebraic tori. We extend this notion to a larger class of algebraic varieties, including homogeneous spaces. This leads to a lower bound on the number of $R$-equivalence classes of homogeneous spaces, which is a slightly stronger version of a theorem of Colliot-Thélène and Kunyavskii. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18418 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Flasque quasi-resolutions of algebraic varieties Pirani, Mattia Algebraic Geometry 11E72, 14M17, 20G15 Flasque resolutions play an important role in understanding birational properties of algebraic tori. For instance, Colliot-Thélène and Sansuc have used them to compute $R$-equivalence classes of algebraic tori. We extend this notion to a larger class of algebraic varieties, including homogeneous spaces. This leads to a lower bound on the number of $R$-equivalence classes of homogeneous spaces, which is a slightly stronger version of a theorem of Colliot-Thélène and Kunyavskii. |
| title | Flasque quasi-resolutions of algebraic varieties |
| topic | Algebraic Geometry 11E72, 14M17, 20G15 |
| url | https://arxiv.org/abs/2402.18418 |