A criterion for cohomological dimension

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.

arXiv comment9 pages

References in corpus (1)

• The Weil group of a hyper-class formation

Cited by in corpus (1)

• Autour d'une conjecture de Kato et Kuzumaki