RT Book, Section
T1 On local uniformization of orderings
A1 Andradas Heranz, Carlos
A1 Ruiz Sancho, Jesús María
A2 Jacob, William B.
A2 Lam, Tsit-Yuen
A2 Robson, Robert O.
AB The main application of the results of this paper is to prove the existence of real valuation rings of the quotient field K of an excellent domain A having prescribed centers, ranks, rational ranks and residue dimensions. The major part of the paper develops the machinery necessary for this task. Let α be a point in the real spectrum of the ring A. Much of the paper is devoted to showing that α can be uniformized by means of quadratic transforms. Assume now that A is local. Write Gα for the topological space of all generations of α in the quotient field K, write Uα for the subset of elements βGα which uniformize α, and write Bα for the set of βGα which blow up α. The two main theorems state that the interior of Uα is dense in Gα and that the set Bα is dense in Gα.
PB American Mathematical Society
SN 0-8218-5154-3
YR 1994
FD 1994
LK https://hdl.handle.net/20.500.14352/60692
UL https://hdl.handle.net/20.500.14352/60692
NO Proceedings of the RAGSQUAD year, Berkeley, 1990-1991.Papers resulting from a course held at the University of California at Berkeley, 1990-91 and the AMS Special Session on Real Algebraic Geometry and Quadratic Forms held in San Francisco, Jan. 1991, both comprising the special year dubbed RAGSQUAD
DS Docta Complutense
RD 8 abr 2025