Biblioteca de la Universidad Complutense de Madrid

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

Impacto



Puente Muñoz, María Jesús 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

[img]
Vista previa
PDF
1MB

URL Oficial: http://projecteuclid.org/pjm



Resumen

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.


Tipo de documento:Artículo
Materias:Ciencias > Matemáticas > Geometria algebraica
Código ID:12782
Depositado:30 May 2011 07:32
Última Modificación:20 Ene 2016 15:26

Sólo personal del repositorio: página de control del artículo