English

A criterion for cohomological dimension

K-Theory and Homology 2007-05-23 v1 Number Theory

Abstract

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.

Keywords

Cite

@article{arxiv.math/0511211,
  title  = {A criterion for cohomological dimension},
  author = {Karen Acquista},
  journal= {arXiv preprint arXiv:math/0511211},
  year   = {2007}
}

Comments

9 pages