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arXiv:0807.2265 [math.AG]AbstractReferencesReviewsResources

Smooth motives

Marc Levine

Published 2008-07-14Version 1

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.

Comments: 65 pages
Categories: math.AG, math.AT
Subjects: 14C25, 19E15, 19E08, 14F42, 55P42
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