2026-06-07T23:49:12Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/570732024-06-05T16:22:54Zcom_20.500.14352_14col_20.500.14352_15

Specializations and a local homeomorphism theorem for real Riemann surfaces of rings Puente Muñoz, María Jesús De La 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. 2023-06-20T16:48:19Z 2023-06-20T16:48:19Z 2023-06-20T16:48:19Z 1996-12 journal article https://hdl.handle.net/20.500.14352/57073 0030-8730 eng open access Pacific Journal of Mathematics