Timeline for Local Tate duality for F-vector space
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| May 6, 2023 at 20:19 | vote | accept | user14411 | ||
| May 5, 2023 at 11:27 | history | edited | Mikhail Borovoi | CC BY-SA 4.0 |
A new proof written, covering the general case
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| Apr 22, 2023 at 21:04 | comment | added | user14411 | Thanks for your answer. In the definition of $V^*(1)$, we view $V^*=Hom_{\mathbb F}(V,\mathbb F)$ as a $\mathbb Z_p$-module by letting $\mathbb Z_p$ acts on $\mathbb F$ via $\mathbb Z_p\to \mathbb F_p\to \mathbb F$. In case it helps, this statement of local Tate duality appears on p.32 of link, though his notation is slightly different from mine. | |
| Apr 22, 2023 at 17:33 | comment | added | Mikhail Borovoi | I cannot treat the case of $q=p^l$ when $l>1$ because I don't understand your definition of $V^*(1)$. Try to unravle the definition and to construct a $G_K$-equivariant bilinear pairing $$V\times V^*(1) \to \mu_q. $$ | |
| Apr 22, 2023 at 17:12 | history | edited | Mikhail Borovoi | CC BY-SA 4.0 |
added 11 characters in body
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| Apr 22, 2023 at 17:01 | history | edited | Mikhail Borovoi | CC BY-SA 4.0 |
deleted 54 characters in body
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| Apr 22, 2023 at 16:15 | history | undeleted | Mikhail Borovoi | ||
| Apr 22, 2023 at 16:14 | history | edited | Mikhail Borovoi | CC BY-SA 4.0 |
added 350 characters in body
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| Apr 22, 2023 at 15:51 | history | deleted | Mikhail Borovoi | via Vote | |
| Apr 22, 2023 at 15:45 | history | answered | Mikhail Borovoi | CC BY-SA 4.0 |