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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.( …
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