Patching theorems for projective modules |
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Authors: | Steven E Landsburg |
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Institution: | Department of Economics, University of Chicago, Chicago, IL 60637, USA |
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Abstract: | In the first section of this paper, we prove several ‘Milnor-Mayer-Vietoris’-type patching theorems for projective modules. In the second section we apply these theorems to projective modules over polynomial rings and give some criteria for such modules to be extended. In the third section, the theorems are applied to the study of vector bundles over curves. |
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