The Merkuriev-Suslin theorem for any semi-local ring

Details The Merkuriev-Suslin theorem for any semi-local ring The Merkuriev-Suslin theorem for any semi-local ring

2005-03-15

arxiv.org/abs/math/0503282v2

Mathematics

Algebraic Geometry

Scientific paper

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 K_2(A).

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