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2 votes
1 answer
157 views

$f(x)\bmod p$ and decomposition of prime ideals

While reading Serre's beautiful book Lectures on $N_X(p)$, I thought of a related question. Let $f(x)\in \mathbb{Z}[x]$ be a monic irreducible polynomial with integer coefficients. Let $K$ be the ...
youknowwho's user avatar
3 votes
1 answer
270 views

Connecting different ways of constructing cubic extensions of $\mathbb{Q}$

There are at least two ways to construct cyclic cubic extensions of $\mathbb{Q}$ as explained below. (A third one is given in the answer to an earlier question). Given $A, B, C$ integers with $A\neq ...
Kapil's user avatar
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