10.1016/S0040-9383(01)00019-2

The weight-two motivic complex of equicharacteristic local fields

Abstract

AbstractLet L/K be a finite Galois extension of local fields in positive characteristic with group G. The weight-two motivic complex Γ(2,L) defines an element of ExtZ[G]2(K2(L),K3(L).). We show, after inverting the prime 2, that cup-product with this 2-extension induces an isomorphism on Tate cohomology. In fact we show that this isomorphism coincides with cup-product by the K2/K3 local fundamental class previously constructed

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Last time updated on 6/5/2019

This paper was published in Elsevier - Publisher Connector .

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