English

Smooth motives

Algebraic Geometry 2008-07-16 v1 Algebraic Topology

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 SS generated by the motives of smooth projective SS-schemes, assuming that SS is itself smooth over a perfect field.

Keywords

Cite

@article{arxiv.0807.2265,
  title  = {Smooth motives},
  author = {Marc Levine},
  journal= {arXiv preprint arXiv:0807.2265},
  year   = {2008}
}

Comments

65 pages

R2 v1 2026-06-21T11:00:28.827Z