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Jaakko Seppälä

9:01 AM

Has anyone an idea how to solve this: math.stackexchange.com/questions/4713772/…

4 hours later…

Martin Sleziak

12:37 PM

The above link goes to: Why do the residue map extend to a place rather than an embedding?

Q: Why do the residue map extend to a place rather than an embedding?

Does anyone know how to fill the details of Lemma 2.3.4 from the book "Field Arithmetic". The statement of the lemma goes as follows: Let $v$ be a discrete valuation of a field $E$, $h\in O_v[X]$ a monic irreducible polynomial of degree $n$, $x$ a root of $h(X)\in\tilde{E}(x)$. Suppose the residu...