Abstract
Let k be an algebraically closed field and let R ⊂ k be a valuation ring. Then the residue field L of R is also algebraically closed. Let π: R → L denote the canonical map, and let M = Ker (π). Let ℝn(k) and P n(L) denote the set of closed points of ℝ nk and ℝ nL respectively (= the set of k-valued and L-valued points).
Keywords
- Generic Point
- Closed Point
- Valuation Ring
- Algebraic Closure
- Residue Field
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 1988 Springer-Verlag Berlin Heidelberg
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Mumford, D. (1988). Specialization. In: The Red Book of Varieties and Schemes. Lecture Notes in Mathematics, vol 1358. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21581-4_18
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DOI: https://doi.org/10.1007/978-3-662-21581-4_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50497-9
Online ISBN: 978-3-662-21581-4
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