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arXiv 2005-03-15 0 views

The Merkuriev-Suslin theorem for any semi-local ring

Hoobler, Raymond T.

Original · EN

We introduce here a method which uses etale 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 etale cohomology of A agrees with Galois cohomology, the Merkuriev-Suslin theorem holds for A, and to describe torsion in K₂(A).

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