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Valuations of coefficients of minimal polynomials for tuples

Suppose you are given two valued fields $(K,v) \subseteq (L,w)$ and a tuple $a \in L^n$. What kind of restrictions do we have on the valuation of the coefficients of polynomials $q \in K[x_1,\dots x_n …
Simone Ramello's user avatar
5 votes
0 answers
119 views

Existence of invariant valuations

Given a field $K$, one can enrich it via a valuation, an automorphism or both structures at the same time in a compatible way. In all of these three cases, the model theory is well-understood (under s …
Simone Ramello's user avatar