Divided powers on abelian varieties
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866918333053403136 |
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| author | Kahn, Bruno |
| author_facet | Kahn, Bruno |
| contents | We prove the existence of divided powers in étale Chow groups of abelian varieties over a separably closed field, and hence of an integral lift of the Fourier transform, away from the characteristic and up to $2$-torsion. The method is to lift the Deninger-Murre Chow-Künneth projectors to integral ones, and draw consequences. Several techniques used here are new. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11135 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Divided powers on abelian varieties Kahn, Bruno Algebraic Geometry Number Theory 14K05, 14C25 We prove the existence of divided powers in étale Chow groups of abelian varieties over a separably closed field, and hence of an integral lift of the Fourier transform, away from the characteristic and up to $2$-torsion. The method is to lift the Deninger-Murre Chow-Künneth projectors to integral ones, and draw consequences. Several techniques used here are new. |
| title | Divided powers on abelian varieties |
| topic | Algebraic Geometry Number Theory 14K05, 14C25 |
| url | https://arxiv.org/abs/2602.11135 |