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. 427442. ISSN 00308730

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Official URL: http://projecteuclid.org/pjm
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 Sr(f) : Sr(R/k) > Sr(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 Sr(f), and (2) an analysis of the closure operator on real Riemann surfaces. Constructible sets are dealt with by means of a suitable firstorder 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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