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The weight twoK-theory of fields
Authors:Marc Levine
Affiliation:(1) Department of Mathematics, Northeastern University, 02115 Boston, MA, USA
Abstract:
We verify the weight-two portion of the Quillen-Lichtenbaum conjectures, relating the modn weight-twoK-groups of a field with the appropriate étale cohomology groups. This extends the work of Merkurjev and Suslin onK2 of a field, and the works of Suslin and the author on the indecomposableK3 of a field.Partially supported by the NSF.
Keywords:Quillen-Lichtenbaum conjecture  é  tale cohomology  gamma filtration  K2  K3
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