Andradas Heranz, CarlosDíaz-Cano Ocaña, Antonio2023-06-202023-06-2020040025-587410.1007/s00209-004-0650-3https://hdl.handle.net/20.500.14352/49812We show that the closed stability index of an excellent henselian local ring of real dimension d>2 with real closed residue field is (s) over bar (A) = 1/2d(d+1). When d=2 it is shown that the value of can be either 2 or 3 and give characterizations of each of these values in terms of the relation of A with its normalization and in terms of the real spectrum of A.engjournal articlehttp://www.springerlink.com/content/ne8894wgrj7qgc00/http://www.springerlink.com/restricted access512.7Geometria algebraica1201.01 Geometría Algebraica