Brauer classes not split by genus one curves
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909731256270848 |
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| author | Reichstein, Zinovy Scavia, Federico |
| author_facet | Reichstein, Zinovy Scavia, Federico |
| contents | We show that there exist Brauer classes over a field $F$ which are not split by any genus one curve over $F$. This answers a question of Clark and Saltman. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07447 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Brauer classes not split by genus one curves Reichstein, Zinovy Scavia, Federico Algebraic Geometry 16K50 (Primary) 12G05, 14H52, 14K05 (Secondary) We show that there exist Brauer classes over a field $F$ which are not split by any genus one curve over $F$. This answers a question of Clark and Saltman. |
| title | Brauer classes not split by genus one curves |
| topic | Algebraic Geometry 16K50 (Primary) 12G05, 14H52, 14K05 (Secondary) |
| url | https://arxiv.org/abs/2508.07447 |