Timeline for Why does $\theta: \mathbb{B}^+_{dr} \rightarrow \mathbb{C}_p$ have no continuous or equivariant section?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 4, 2019 at 12:04 | comment | added | DCM | @LaurentBerger Sorry, you are right, I should be more precise. What I am after is a section that is a ring homomorphism. | |
| Oct 3, 2019 at 11:21 | comment | added | Laurent Berger | Note also that $B_{dR}$ is a complete discrete valued field with uniformizer $t$ and residue field $C_p$, so as an abstract field it is isomorphic to $C_p((t))$ and $B_{dR}^+/t^2$ is abstractly isomorphic to $C_p[t]/t^2$. | |
| Oct 3, 2019 at 11:16 | comment | added | Laurent Berger | Your question should be more precise. The map in your question (1) has a continuous section because a surjective map of p-adic Banach spaces necessarily has a continuous section. Do you want the section to be a ring homomorphism as well? | |
| Sep 19, 2019 at 9:07 | history | edited | DCM | CC BY-SA 4.0 |
added 5 characters in body
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| Sep 18, 2019 at 17:52 | history | asked | DCM | CC BY-SA 4.0 |