Timeline for Interpretation of Tate conjecture using motivic homotopy
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Mar 18, 2023 at 17:46 | comment | added | David Loeffler | Tate's conjecture is formulated for fields which are finitely generated over their prime field, so that rules out the case of algebraically-closed $k$. | |
| Mar 18, 2023 at 16:24 | comment | added | TCiur | @DavidLoeffler Yes this seems like a problem. Is there a way around this, or maybe just take $k$ to be algebraically closed? | |
| Mar 18, 2023 at 16:18 | history | edited | TCiur | CC BY-SA 4.0 |
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| Mar 18, 2023 at 16:12 | history | edited | TCiur | CC BY-SA 4.0 |
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| Mar 18, 2023 at 16:09 | comment | added | David Loeffler | You seem to be eliding the difference between $H^{2i}(X, \mathbb{Q}_\ell(i))$ and $H^{2i}(X_{\overline{k}}, \mathbb{Q}_\ell(i))^{G_k}$, which are different things in general. | |
| Mar 18, 2023 at 16:01 | history | edited | TCiur | CC BY-SA 4.0 |
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| Mar 18, 2023 at 15:31 | history | asked | TCiur | CC BY-SA 4.0 |