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- W1552038097 abstract "We prove the Tate duality for higher dimensional local fields of mixed characteristic (0,p), when p is an odd prime, using the theory of higher fields of norms. Assuming that p is not ramified in the basefield, we then use this construction to define the higher Hilbert pairing. In particular, we show that the Hilbert pairing is non-degenerate, and we re-discover the formulae of Brueckner and Vostokov." @default.
- W1552038097 created "2016-06-24" @default.
- W1552038097 creator A5080341690 @default.
- W1552038097 date "2007-05-29" @default.
- W1552038097 modified "2023-09-27" @default.
- W1552038097 title "The higher Hilbert pairing via (phi,G)-modules" @default.
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