The Merkuriev-Suslin theorem for any semi-local ring |
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Authors: | Raymond T. Hoobler |
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Affiliation: | Department of Mathematics, City College of New York, New York, NY 10031, United States |
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Abstract: | We introduce here a method which uses étale neighborhoods to extend results from smooth semi-local rings to arbitrary semi-local rings A by passing to the henselization of a smooth presentation of A. The technique is used to show that étale cohomology of A agrees with Galois cohomology, to show that the Merkuriev-Suslin theorem holds for A, and to describe torsion in K2(A). |
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Keywords: | primary 14F20 secondary 14F22 13D15 19E08 |
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