2005/03/15 by Raymond T. Hoobler, Hoobler, Raymond T. · 1 citation
Mathematics · #14F20 (Primary) 14F22 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14F20 #msc:14F22
paper · pdf · doi:10.48550/arxiv.math/0503282
arxiv created 2005/03/15 · arxiv updated 2009/12/01
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).