Bhatwadekar, S. M. ; Sane, Sarang (2009) Projective modules over smooth, affine varieties over Archimedean real closed fields Journal of Pure and Applied Algebra, 213 (10). pp. 1936-1944. ISSN 0022-4049
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00224...
Related URL: http://dx.doi.org/10.1016/j.jpaa.2009.02.007
Abstract
Let X = Spec(A) be a smooth, affine variety of dimension n ≥ 2 over the field of R real numbers. Let P be a projective A-module of such that its nth Chern class Cn(P) ∈ CH0(X) 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 R.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 3230 |
| Deposited On: | 11 Oct 2010 09:56 |
| Last Modified: | 18 May 2011 09:28 |
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