Timeline for Non-examples of mixed Tate motives
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 7, 2021 at 15:23 | comment | added | Donu Arapura | rvk is right. To say that the motive of some variety is mixed Tate is a very strong condition. So if you pick a variety "at random", it probably won't satisfy this. Concretely, in higher dimensions, you can take smooth hypersurface in $\mathbb{P}^n$ of degree $n+1$ or more. (Look at the Hodge numbers.) | |
| Oct 7, 2021 at 9:02 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| Oct 7, 2021 at 4:49 | review | Close votes | |||
| Oct 13, 2021 at 3:02 | |||||
| Oct 7, 2021 at 1:36 | comment | added | rvk | Just look at the Hodge structure. Or look at them in the Grothendieck group of motives (equivalently look at the Hodge E-polynomial). | |
| Oct 7, 2021 at 1:33 | comment | added | Arpith | What's the reason for this? | |
| Oct 7, 2021 at 1:29 | comment | added | rvk | Elliptic curve? Smooth genus g curve, g>0? | |
| S Oct 7, 2021 at 1:20 | review | First questions | |||
| Oct 7, 2021 at 5:58 | |||||
| S Oct 7, 2021 at 1:20 | history | asked | Arpith | CC BY-SA 4.0 |