Closed stability index of excellent henselian local rings |
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| Authors: | Email author" target="_blank">C?AndradasEmail author A?Díaz-Cano |
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| Institution: | (1) Department of Mathematics, McMaster University, Hamilton, Ont. L8S 4K1, Canada;(2) Department of Mathematics, National Chung-Cheng University, Minghsiung, Chia-Yi, Taiwan;(3) Max-Planck-Institute for Mathematics in the Sciences, Inselstr. 22-26, 04103 Leipzig, Germany |
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| Abstract: | We show that the closed stability index of an excellent henselian local ring of real dimension d 2 with real closed residue field is  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.Mathematics Subject Classification (2000): 14P15, 32B10, 13J15, 13J25Partially supported by DGES BFM2002-04797 and EC contract HPRN-CT-2001-00271in final form: 15 October 2003 |
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