Algebraic vs. topological vector bundles on spheres
Algebraic Geometry
2017-06-07 v2 Commutative Algebra
Algebraic Topology
K-Theory and Homology
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 topological complex vector bundles on smooth affine quadrics of dimension over the complex numbers admit algebraic structures.
Cite
@article{arxiv.1402.4156,
title = {Algebraic vs. topological vector bundles on spheres},
author = {Aravind Asok and Jean Fasel},
journal= {arXiv preprint arXiv:1402.4156},
year = {2017}
}
Comments
13 pages; Final version before page proofs; to appear J. Ram. Math. Soc