JP Journal of Algebra, Number Theory and Applications
Volume 3, Issue 2, Pages 289 - 299
(August 2003)
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ON A
DUALITY OF GALOIS COHOMOLOGY AND THE STRICT
COHOMOLOGICAL DIMENSION OF HIGHER LOCAL FIELDS
Yoshihiro Koya (Japan)
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Abstract: In this paper we shall prove
a certain duality theorem of the Galois
cohomology with finite coefficients for higher
dimensional local fields, which is an analogue
of Tate’s duality theorem found in [Proceedings
of the International Congress of Mathematics,
Stockholm, 1962, pp. 288-295]. Moreover, as an
application, we determine the strict
cohomological dimension of higher dimensional
local fields. |
Keywords and phrases: cohomological dimension, Kahn complex, higher
local field. |
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