Smooth motives

Details Smooth motives Smooth motives

2008-07-14

arxiv.org/abs/0807.2265v1

Mathematics

Algebraic Geometry

65 pages

Scientific paper

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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