Timeline for Choice of digits for extensions of $\mathbb{Q}_p$
Current License: CC BY-SA 3.0
5 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| May 5, 2016 at 15:29 | comment | added | Lubin | Good luck in your quest. I can’t imagine anything that would turn out better than the good old Witt polynomials, even if they do look like a mess to the eye. At least they’re “understood”. | |
| May 5, 2016 at 14:45 | comment | added | Gro-Tsen | @WillSawin For a single degree, certainly; but I'm hoping for some kind of compatibility between the choice of digits for the unramified extensions of degrees $m$, $m'$ and $mm'$: the Conway polynomials have some condition of the form, but they don't seem too relevant here. (I mean, I'm sure it's not too hard to find something that works, but maybe there's something a bit smarter than just "working".) | |
| May 5, 2016 at 14:40 | comment | added | Will Sawin | One could take the lexicographically first polynomial over $\mathbb Z$ that is irreducible mod $p$, which is equivalent to lifting each coefficient of the Conway polynomial to an element of $\{0,\dots,p-1\}$. | |
| May 5, 2016 at 12:45 | history | asked | Gro-Tsen | CC BY-SA 3.0 |