RT Journal Article T1 Ordres sur les surfaces réelles A1 Alonso García, María Emilia A1 Gamboa Mutuberria, José Manuel A1 Ruiz Sancho, Jesús María AB 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. PB Elsevier SN 0764-4442 YR 1984 FD 1984 LK https://hdl.handle.net/20.500.14352/64825 UL https://hdl.handle.net/20.500.14352/64825 LA fra DS Docta Complutense RD 6 abr 2025