Publication: Cônes locaux et complétions
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Publication Date
1986-01-14
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Elsevier
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Abstract
Let A be a local ring; let  denote the completion of A and Spec r A,Spec R  the real spectra of A and Â,respectively. The author studies the fibers of the canonical morphism Spec r  → Spec r A, for an excellent ring A, and computes its images. Two applications are given: an existence theorem for real valuations in excellent rings, and an Artin-Lang homomorphism theorem for global analytic functions