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).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
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
eBook Packages: Springer Book Archive