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Patching theorems for projective modules
Authors:Steven E Landsburg
Institution:Department of Economics, University of Chicago, Chicago, IL 60637, USA
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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