All Questions
Tagged with motivic-cohomology purity
3 questions
2
votes
0
answers
77
views
Purity of truncated Zariski sheaves of roots of unity
By Quillen-Lichtenbaum theorem the weight $i$ mod $l$ motivic complex is quasi-isomorphic to $\tau^{\leq i}R\alpha_{*}\mu_l^{\otimes i}$ where $\alpha$ is the forgetful functor sending etale sheaves ...
4
votes
1
answer
301
views
A question regarding the Suslin's proof on Grayson motivic cohomology
This question is regarding the proof strategy presented in the paper, "On The Grayson Spectral Sequence", which its overview is explained in page 1 and 2. It seems a very general approach is ...
3
votes
0
answers
321
views
Relations between the morphic cohomology and Hodge theory
The main question can be summarized in the following form:
For a smooth projective complex variety $X$, is the cohomology $H^{2p}(X, \tau^{\leq p}\Omega_{alg}^{\bullet})$ supposed to surject onto $(H^...