A criterion for cohomological dimension

Details A criterion for cohomological dimension A criterion for cohomological dimension

2005-11-08

arxiv.org/abs/math/0511211v1

Mathematics

K-Theory and Homology

9 pages

Scientific paper

We give a criterion for the cohomological dimension of a field, involving
norm maps on Milnor K-theory; this criterion was originally formulated by Kato.
The theorem we prove is a generalization of a theorem in Serre's book on Galois
cohomology.

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