Realising the cup product of local Tate duality

Newton, R. ORCID: https://orcid.org/0000-0003-4925-635X (2015) Realising the cup product of local Tate duality. Journal de Theorie des Nombres de Bordeaux, 27 (1). pp. 219-244. ISSN 1246-7405 doi: 10.5802/jtnb.900

Abstract/Summary

We present an explicit description, in terms of central simple algebras, of a cup product map which occurs in the statement of local Tate duality for Galois modules of prime cardinality p. Given cocycles f and g, we construct a central simple algebra of dimension p^2 whose class in the Brauer group gives the cup product f\cup g. This algebra is as small as possible.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/58178
Identification Number/DOI	10.5802/jtnb.900
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Société Arithmétique de Bordeaux
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