Smooth motives

Marc Levine

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arXiv · 0807.2265

Smooth motives

Marc Levine

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Abstract

Following ideas of Bondarko, we construct a DG category whose homotopy category is equivalent to the full subcategory of motives over a base-scheme $S$ generated by the motives of smooth projective $S$-schemes, assuming that $S$ is itself smooth over a perfect field.

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Marc Levine. 2008-07-14. Smooth motives. https://arxiv.org/abs/0807.2265

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