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Argument of Zariski density to prove rationality of a regular map
To Felipe Thank you very much for your nice answer.
(By regular function I meant a continous function for the Zariski topology, so our definition coincides).
To nfdc, thank you very much for your e …
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Argument of Zariski density to prove rationality of a regular map
Question: I want to know if the following result is correct:
Let $k$ be a number field and $k_v$ be a completion of $k$ at some place $v$, denote $K_v$ an algebraic closure of $k_v$.
Proposition.( …