Journal of the Ramanujan Mathematical Society

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Algebraic vs. Topological Vector Bundles on Spheres


Affiliations
1 Department of Mathematics, University of Southern California, 3620 S. Vermont Ave., Los Angeles, CA 90089-2532, United States
2 Institut Fourier - UMR 5582, Universite Grenoble-Alpes, CS 40700, 38058 Grenoble Cedex 9, France
     

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We study the problem of when a topological vector bundle on a smooth complex affine variety admits an algebraic structure.We prove that all rank 2 topological complex vector bundles on smooth affine quadrics of dimension 11 over the complex numbers admit algebraic structures.
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  • Algebraic vs. Topological Vector Bundles on Spheres

Abstract Views: 184  |  PDF Views: 1

Authors

Aravind Asok
Department of Mathematics, University of Southern California, 3620 S. Vermont Ave., Los Angeles, CA 90089-2532, United States
Jean Fasel
Institut Fourier - UMR 5582, Universite Grenoble-Alpes, CS 40700, 38058 Grenoble Cedex 9, France

Abstract


We study the problem of when a topological vector bundle on a smooth complex affine variety admits an algebraic structure.We prove that all rank 2 topological complex vector bundles on smooth affine quadrics of dimension 11 over the complex numbers admit algebraic structures.