Timeline for What can one say about zero-cycle groups for products of Chow motives
Current License: CC BY-SA 3.0
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| Oct 5, 2014 at 13:02 | comment | added | Mikhail Bondarko | Actually, I have realized that it would be ok to compute the Albanese kernel for the product of a large number of curves with genus bounded by some constant. So, I probably need a certain vanishing result for the corresponding Somekawa's K-groups. | |
| Oct 5, 2014 at 13:00 | history | edited | Mikhail Bondarko | CC BY-SA 3.0 |
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| Oct 5, 2014 at 10:19 | comment | added | Mikhail Bondarko | Thank you!! I will certainly have a look at the papers you mention anyway. | |
| Oct 5, 2014 at 10:13 | comment | added | Matthias Wendt | Ok, I see, you are interested in higher dimensions. I guess there are two things that the papers mentioned in my previous comment imply: 1) one might hope that some version of the results works for products of abelian varieties, and 2) it seems already quite difficult to get results for products of curves, so I would expect it to be unlikely that general results exist for arbitrary dimensions. | |
| Oct 5, 2014 at 9:46 | history | edited | Mikhail Bondarko | CC BY-SA 3.0 |
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| Oct 5, 2014 at 9:35 | comment | added | Matthias Wendt | You might want to look at the papers W. Raskind, M. Spiess: Milnor K-groups and zero-cycles on products of curves over $p$-adic fields. Compositio Math. 121 (2000), 1-33 and B. Kahn, T. Yamazaki: Somekawa's K-groups and Voevodsky's Hom-groups. | |
| Oct 5, 2014 at 7:50 | history | asked | Mikhail Bondarko | CC BY-SA 3.0 |