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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

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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 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: | 20 Jan 2016 15:26 |

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