Prestel, Alexander; Roquette, Peter Formally \(p\)-adic fields. (English) Zbl 0523.12016 Lecture Notes in Mathematics. 1050. Berlin etc.: Springer-Verlag. V, 167 p. DM 24.00; $ 9.00 (1984). Reviewer: N. Sankaran (Bangalore) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 14 ReviewsCited in 63 Documents MSC: 12J12 Formally \(p\)-adic fields 12J10 Valued fields 12-02 Research exposition (monographs, survey articles) pertaining to field theory 12D99 Real and complex fields 14A05 Relevant commutative algebra 12L12 Model theory of fields 14G20 Local ground fields in algebraic geometry MathOverflow Questions: Does a $K_{\upsilon}$-point of a variety $V$ give a point of $V$ in $K_{(\upsilon)}=K^{sep}\cap K_{\upsilon}$ for a global field $K$? Keywords:17th problem of Hilbert; Kochen operator; p-adically closed fields; isomorphism theorem; general embedding theorem; Hilbert Nullstellensatz PDF BibTeX XML Full Text: DOI