Nori motive

In algebraic geometry, a Nori motive is a mixed motive constructed by Madhav Nori. Today, it is known that Nori's 1-motive coincides with that of Ayoub. ^[1]

The construction is based on Nori's basic lemma and his tannakian theorem. ^[2]

See also

• motivic sheaf

References

1. Joseph Ayoub, Luca Barbieri-Viale, Nori 1-motives, arXiv:1206.5923 [math.AG]
2. § 4.4.4., Bruno Kahn, Algebraic K-Theory, Algebraic Cycles and Arithmetic Geometry in Handbook of K-Theory.

• Friedlander, Eric; Grayson, Daniel R. (18 July 2005). Handbook of K-Theory. Springer Science & Business Media. ISBN   978-3-540-23019-9.
• Huber, Annette; Müller-Stach, Stefan (8 March 2017). Periods and Nori Motives. Springer. ISBN   978-3-319-50926-6.
• A. Bruguières. On a tannakian result due to Nori, preprint of the Département de Mathématiques de l'Université Montpellier II.
• Fakhruddin, Najmuddin. Notes of Nori's lectures on mixed motives. T.I.F.R., Mumbai, 2000.

Further reading

• Reference for Nori motives
• Nori motive in nLab
• Caramello, Olivia. "Motivic toposes." arXiv preprint arXiv:1507.06271 (2015).
• L. Barbieri-Viale, O. Caramello & L. Lafforgue: Syntactic categories for Nori motives, arXiv:1506.06113v1 [math.AG] (2015). See also An example of incorrect behaviour of a senior mathematician towards a young mathematician for some background