Borel-Moore motivic homology and weight structure on mixed motives
arXiv:1502.03956 · doi:10.1007/s00209-016-1636-7
Abstract
By defining and studying functorial properties of the Borel-Moore motivic homology, we identify the heart of Bondarko-Hébert's weight structure on Beilinson motives with Corti-Hanamura's category of Chow motives over a base, therefore answering a question of Bondarko.
Cited by in corpus (11)
- Fundamental classes in motivic homotopy theory
- On the rational motivic homotopy category
- Bivariant theories in motivic stable homotopy
- On relative -motives, weights for them, and negative -groups
- Künneth formulas for motives and additivity of traces
- Algebraic G-theory in motivic homotopy categories
- On some finiteness results in real étale cohomology
- Chow motives without projectivity, II
- K-theory Soergel Bimodules
- Motivic Intersection Complex of Certain Shimura varieties
- Trace formalism for motivic cohomology