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arXiv · 2410.21094

Fourier transform for étale motivic cohomology

Ivan Rosas-Soto
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Abstract

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.

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Ivan Rosas-Soto. 2024-10-28. Fourier transform for étale motivic cohomology. https://arxiv.org/abs/2410.21094

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