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oai:docta.ucm.es:20.500.14352/648252024-03-01T14:23:05Zcom_20.500.14352_14col_20.500.14352_15

Alonso García, María Emilia Gamboa Mutuberria, José Manuel Ruiz Sancho, Jesús María 2023-06-21T02:05:27Z 2023-06-21T02:05:27Z 1984 0764-4442 https://hdl.handle.net/20.500.14352/64825 http://gallica.bnf.fr/ark:/12148/bpt6k54939704/f43.image.r=Comptes%20Rendus%20de%20l%27Académie%20des%20Sciences.langEN http://gallica.bnf.fr After describing explicitly all total orderings in the ring R[[x,y]], we prove that each ordering in the quotient field of the ring of germs of real analytic functions at an irreducible point O of a real analytic surface X is defined by a half-branch of the germ at O of some curve on X, which is analytic off the origin. Then follows an analogous result for real algebraic surfaces. fra restricted access Ordres sur les surfaces réelles journal article