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RESEARCH PRODUCT
Weights and Pure Nori Motives
Stefan Müller-stachAnnette Hubersubject
FunctorRealisationAbelian categoryCategory theoryMathematical economicsMathematicsdescription
In this chapter, we explain how Nori motives relate to other categories of motives. By the work of Harrer, the realisation functor from geometric motives to absolute Hodge motives factors via Nori motives. We then use this in order to establish the existence of a weight filtration on Nori motives with rational coefficients. The category of pure Nori motives turns out to be equivalent to Andre’s category of motives via motivated cycles.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |