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Results tagged with local-fields
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user 56228
2
votes
0
answers
110
views
split tori over local fields
Let $F$ be a non-archimedean local field, and $\mathscr O$ its ring of integers. Suppose $T$ is an $F$-split torus, i.e., $T = (\mathbb G_m)^r$ where $\mathbb G_m$ denotes the multiplicative group. Ca …
- 303
1
vote
1
answer
258
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Measure of ramification of local fields using upper numbering
We let $F$ be a non-archimedean local field (say with finite residue field). Consider a Galois extensions $E$ of $F$, with $G = Gal(E/F)$, in a fixed separable closure $\bar{F}$ of $F$. Considering th …
- 303
2
votes
1
answer
163
views
Weil group of a local field, small notational problem
In Bushnell and Henniart, The Local Langlands conjecture for GL(2), there is a proposition on p. 184 in which they prove the following:
Let $F$ be a non-archimedean local field, $\mathcal W_F$ its We …
- 303