Triangulated Categories of Mixed Motives

@inproceedings{Cisinski2019TriangulatedCO,
  title={Triangulated Categories of Mixed Motives},
  author={Denis-Charles Cisinski and F. D'eglise},
  year={2019}
}
This book discusses the construction of triangulated categories of mixed motives over a noetherian scheme of finite dimension, extending Voevodsky's definition of motives over a field. In particular, it is shown that motives with rational coefficients satisfy the formalism of the six operations of Grothendieck. This is achieved by studying descent properties of motives, as well as by comparing different presentations of these categories, following and extending insights and constructions of… Expand
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