Zariski and Samuel II states if a field K over k has positive trans. degree an algebraic place of K/k exists. (Ch. VI, The 5, corr. 2). Could someone supply a non trivial example of such a place? Thanks.
Non trivial algebraic places
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$\begingroup$
abstract-algebra
1 Answers
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$$\mathcal{P}(f(x))=f(0)$$ is an rational place on $k(x)$.