Abstract
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 André’s category of motives via motivated cycles.
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Huber, A., Müller-Stach, S. (2017). Weights and Pure Nori Motives. In: Periods and Nori Motives. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 65. Springer, Cham. https://doi.org/10.1007/978-3-319-50926-6_10
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DOI: https://doi.org/10.1007/978-3-319-50926-6_10
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-50925-9
Online ISBN: 978-3-319-50926-6
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