%0 Journal Article
%A Alonso García, María Emilia
%A Gamboa Mutuberria, José Manuel
%A Ruiz Sancho, Jesús María
%T Ordres sur les surfaces réelles
%D 1984
%@ 0764-4442
%U https://hdl.handle.net/20.500.14352/64825
%X 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.
%~