The Higher K-Theory of Complex Varieties |
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| Authors: | Claudio Pedrini and Charles Weibel |
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| Institution: | (1) DIMA, Università di Genova, Genova, Italy;(2) Department of Mathematics, Rutgers University, New Brunswick, NJ, U.S.A. |
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| Abstract: | Let X be a smooth complex variety, and let F be its function field. We prove that (after localizing at the prime 2) the K-groups of F are divisible above the dimension of X, and that the K-groups of X are divisible-by-finite. We also describe the torsion in the K-groups of F and X. |
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| Keywords: | algebraic K-theory complex varieties topological K-theory é tale cohomology |
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