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
NO G. W. BRUMFIEL, Partially ordered rings and semi-algebraic geometry (Lecture Notes, 37, Cambridge University Press, 1978)L. Fuchs, Partially ordered algebraic systems, Pergamon Press, 1963R. Narasimhan, Introduction to the theory of analytic spaces (Lecture Notes, 25, Springer, 1966)R. J. Walker, Algebraic curves, Princeton University Press, 1950
DS Docta Complutense
RD 1 may 2024