AlgebraicK-theory eventually surjects onto topologicalK-theory

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Algebraic K-Theory Eventually Surjects onto Topological K-Theory

Background. For X a smooth scheme over ~, K.t(X; 2g/{") is isomorphic to the usual rood(" topological K-theory of X as a complex manifold ([6]). In this case, Theorem 1 essentially answers a question of Fulton, [9], w 5. For many such X the mapp: Ko(X)~K~ot(X) cannot be a surjection, as non-trivial Hodge conditions on the Chern classes prevent some topological bundles from being stably algebrai...

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ژورنال

عنوان ژورنال: Inventiones Mathematicae

سال: 1982

ISSN: 0020-9910,1432-1297

DOI: 10.1007/bf01389225