Fourier transform for étale motivic cohomology
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913565836836864 |
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| author | Rosas-Soto, Ivan |
| author_facet | Rosas-Soto, Ivan |
| contents | In the present article, we study the integral aspects of the Fourier transform of an abelian variety $A$ over a field $k$, using étale motivic cohomology, following the ideas and theory given by Moonen, Polishchuk and later by Beckman and de Gaay Fortman. We prove that there exists a PD-structure over the positive degree part of the étale Chow ring $\text{CH}^{\text{ét}}_{>0}(A)$ with respect to the Pontryagin product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21094 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fourier transform for étale motivic cohomology Rosas-Soto, Ivan Algebraic Geometry 14C25, 14F20, 19E15 In the present article, we study the integral aspects of the Fourier transform of an abelian variety $A$ over a field $k$, using étale motivic cohomology, following the ideas and theory given by Moonen, Polishchuk and later by Beckman and de Gaay Fortman. We prove that there exists a PD-structure over the positive degree part of the étale Chow ring $\text{CH}^{\text{ét}}_{>0}(A)$ with respect to the Pontryagin product. |
| title | Fourier transform for étale motivic cohomology |
| topic | Algebraic Geometry 14C25, 14F20, 19E15 |
| url | https://arxiv.org/abs/2410.21094 |