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arXiv · 1708.01036

Description of mixed motives

Doosung Park
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Abstract

Assuming the K\"unneth type standard conjecture, we propose a way to describe objects of mixed motives explicitly. We study their formal properties, and we associate mixed motives to schemes smooth and separated over a field. This serves as a universal cohomology theory. We also discuss $\ell$-adic realizations, and we discuss an unconditional construction of 2-motives and their properties.

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Doosung Park. 2017-08-03. Description of mixed motives. https://arxiv.org/abs/1708.01036

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