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Apr 18, 2016 at 15:06 vote accept Dominik
Dec 10, 2015 at 22:08 comment added Daniel Litt Yep, I don't see how to apply that here but it's not a bad idea to ask her--she is one of the experts on this subject.
Dec 10, 2015 at 17:29 comment added Gjergji Zaimi I seem to recall that Zakharevic had a theorem along the lines of: The kernel of multiplication by $\mathbb L$ is generated by examples like the one by Borisov. I wonder if that has any implications here.
Dec 10, 2015 at 14:00 comment added Daniel Litt Good point! Of course the existence of torsion would prove the existence of zero divisors--again this is known but there are no easy examples over algebraically closed fields...
Dec 10, 2015 at 9:25 comment added Dan Petersen Hm. This is not completely convincing, is it? You're saying "If the Grothendieck ring contained torsion then this would resolve problems known to be hard, so the problem is surely open". But it's also possible that the Grothendieck ring does not contain torsion; this could very well be easier to show than Hausdorffness of the $\mathbb L$-adic topology, right?
Dec 10, 2015 at 5:12 history answered Daniel Litt CC BY-SA 3.0