Rigidity theorems for K- and H-cohomology and other functors
Algebraic Geometry
2018-04-27 v2
Abstract
Suslin proved that for an extension K/k of algebraically closed fields the induced maps K_m(k)[n] --> K_m(K)[n] and K_m(k)/n ---> K_m(K)/n for the higher K-groups are isomorphisms, where A[n] is the subgroup of n-torsion in an abelien group, and A/n = A/nA, by definition. In this paper we generalize this to other functors and other field extensions.
Keywords
Cite
@article{arxiv.1503.08742,
title = {Rigidity theorems for K- and H-cohomology and other functors},
author = {Uwe Jannsen},
journal= {arXiv preprint arXiv:1503.08742},
year = {2018}
}
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31 pages