A criterion for cohomological dimension
Karen Acquista
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.
Create a lesson
Related papers
Geometric K-homology and operator K-theory for Hilbert manifolds
Doman Takata
Mixed Tate motives over number fields
Alexander Kupers, Daniil Rudenko, Ismael Sierra
The integral homology of SL2(Z[1/n])
Isadora Vanzella Picinini, Behrooz Mirzaii
Finite-coefficient K-theory of henselian valued fields and Gersten injectivity
Niels Feld
Deformations and homotopy theory of Rota-Baxter Lie algebras
Jun Chen, Kai Wang, Guodong Zhou
On the abelianization of congruence subgroups of SL2 over S-integers
Pedro H. Amorim, Isadora V. Picinini, Bruno R. Ramos et al.