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Specializations and a local homeomorphism theorem for real Riemann surfaces of rings

Puente Muñoz, Maria Jesus de la (1996) Specializations and a local homeomorphism theorem for real Riemann surfaces of rings. Pacific Journal of Mathematics, 176 (2). pp. 427-442. ISSN 0030-8730

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Abstract

Let phi : k --> A and f : A --> R be ring morphisms, R a real ring. We prove that if f : A --> R is etale, then the corresponding mapping between real Riemann surfaces S-r(f) : S-r(R/k) --> S-r(A/k) is a local homeomorphism. Several preparatory results are proved, as well. The most relevant among these are: (1) a Chevalley's theorem for real Riemann surfaces on the preservation of constructibility via S-r(f), and (2) an analysis of the closure operator on real Riemann surfaces. Constructible sets are dealt with by means of a suitable first-order language.


Item Type:Article
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:12782
Deposited On:30 May 2011 07:32
Last Modified:06 Feb 2014 09:32

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