RT Journal Article
T1 Central orderings in fields of real meromorphic function germs
A1 Ruiz Sancho, Jesús María
AB The paper deals with orderings in the field K(X0) of meromorphic function germs on an irreducible analytic germ X0⊂Rn0 of dimension d. It is inspired by the theory of central points of real algebraic varieties (the set of central points is the closure of the set of smooth points of maximal dimension). In the case of germs, the central points are replaced by curves or, more precisely, half branch germs (actually even C∞ branch germs); the dimension of a half branch germ is the dimension of the smallest analytic germ which contains this half germ. An order on K(X0) is said to be centered on a half branch c if the set of its positive elements contains the functions which are positive on c. If Ωe is the set of orders on K(X0) centered on a half branch of dimension e, it is proved that all Ωe (e=1,⋯,d) and Ω∖Ω∗ (with Ω∗=Ω1∪⋯∪Ωd) are dense in Ω. Various other results and applications are given.
PB Spirnger
SN 0025-2611
YR 1984
FD 1984
LK https://hdl.handle.net/20.500.14352/64772
UL https://hdl.handle.net/20.500.14352/64772
LA eng
DS Docta Complutense
RD 8 abr 2025