148 citations · 390 across the 41 of their papers we have counts for
Showing 2020 · math.AGShow all
2 papers · 2 filters
math.AG2020
On Chow-weight homology of motivic complexes and its relation to motivic homology
Mikhail V. Bondarko, David Z. Kumallagov
We study in detail the so-called Chow-weight homology of Voevodsky motivic complexes and relate it to motivic homology. We generalize earlier results and prove that the vanishing o…
math.AG2020★ 2 cited
On Chow-pure cohomology and Euler characteristics for motives and varieties, and their relation to unramified cohomology and Brauer groups
Mikhail V. Bondarko
We study Grothedieck groups of triangulated categories using weight structures, weight complexes, and the corresponding pure (co)homological functors. We prove some general stateme…