Homological stability fails for the Cremona groups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929412460511232 |
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| author | Szymik, Markus |
| author_facet | Szymik, Markus |
| contents | The Cremona groups are the groups of all birational equivalences of rational varieties and, equivalently, the automorphism groups of the rational function fields. In this note, we explain that homological stability fails for them in both possible ways and comment on their stable homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07546 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homological stability fails for the Cremona groups Szymik, Markus Algebraic Geometry Algebraic Topology Group Theory Geometric Topology K-Theory and Homology The Cremona groups are the groups of all birational equivalences of rational varieties and, equivalently, the automorphism groups of the rational function fields. In this note, we explain that homological stability fails for them in both possible ways and comment on their stable homology. |
| title | Homological stability fails for the Cremona groups |
| topic | Algebraic Geometry Algebraic Topology Group Theory Geometric Topology K-Theory and Homology |
| url | https://arxiv.org/abs/2403.07546 |