Timeline for Some special subgroups of formal groups
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 22, 2020 at 18:08 | vote | accept | kiran | ||
| Sep 23, 2020 at 19:45 | history | edited | Lubin | CC BY-SA 4.0 |
Added an additional reference, in response to a question from OP.
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| Sep 23, 2020 at 19:34 | comment | added | Lubin | Yes, if $A$ was unramified over $\Bbb Z_p$, $A'$ is the smallest. Without changing the Newton polygon, the only maps are isomorphisms, if you’re talking the category of one-dimensional formal groups. I thought that the paper I quoted has the Newtonian magic explained, but really it’s in a later paper. I’ll edit the answer itself to include the reference. | |
| Sep 23, 2020 at 19:05 | comment | added | kiran | Thanks alot for this! Some questions: what is the smallest ring over which $G/\Gamma$ is defined (I think that's $A'$ in the above?) and how does it relate to $A$ and $\mathfrak{o}$? How can I show that $G/\Gamma$ does not even inject into any $\phi^*G$? ($\phi^*$ is any map $Spf\mathfrak{o}\rightarrow SpfA$? Also, where can I learn Newtonian magic (preferably without selling my soul)? I looked through your paper and couldn't find "Newton" anywhere. | |
| Sep 23, 2020 at 2:56 | history | answered | Lubin | CC BY-SA 4.0 |