Koszul duality and Galois cohomology

Details Koszul duality and Galois cohomology Koszul duality and Galois cohomology

1995-07-11

arxiv.org/abs/alg-geom/9507010v2

Math. Res. Lett. 2 (1995), no.6, p.771-781

Mathematics

Algebraic Geometry

AMS-LaTeX v.1.1, 10 pages, no figures. Replaced for tex code correction (%&amslplain added) by request of www-admin

Scientific paper

It it shown that the Bloch-Kato conjecture on the norm residue homomorphism
$K^M(F)/l \to H^*(G_F,Z/l)$ follows from its (partially known) low-degree part
under the assumption that the Milnor K-theory algebra $K^M(F)/l$ modulo $l$ is
Koszul. This conclusion is a case of a general result on the cohomology of
nilpotent (co-)algebras and Koszulity.

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