Projective modules over smooth, affine varieties over Archimedean real closed fields |
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Authors: | S.M. Bhatwadekar Sarang Sane |
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Affiliation: | School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India |
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Abstract: | Let be a smooth, affine variety of dimension n≥2 over the field R of real numbers. Let P be a projective A-module of such that its nth Chern class is zero. In this set-up, Bhatwadekar-Das-Mandal showed (amongst many other results) that P?A⊕Q in the case that either n is odd or the topological space X(R) of real points of X does not have a compact, connected component. In this paper, we prove that similar results hold for smooth, affine varieties over an Archimedean real closed field . |
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Keywords: | 13C10 14P10 |
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