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Results tagged with algebraic-cycles
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user 43108
30
votes
Progress on the standard conjectures on algebraic cycles
For future references. Feel free to edit to include new cases, or any improvements.
As for 2015, the standard conjectures on algebraic cycles is unconditionally (at lest) known for $X$:
Lefschetz st …
- 17.6k
14
votes
Accepted
Hodge standard conjecture for étale cohomology
I'm very interested myself on a better answer to this question, but let me point out the obvious: the main problem is that there is no Hodge theory on positive characteristic.
The proof in characteri …
- 17.6k
11
votes
Accepted
On Grothendieck's idea on his Standard Conjecture B
My guess is that he was thinking about crystalline cohomology.
It fits rather nicely in Grothendieck research at that time. He had obviously in mind the success of Dwork's p-adic approach to the Weil …
- 17.6k