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- W2963782800 abstract "This paper is a continuation to [Gaz17]. For every integer n≥1, we consider the generalized Galois symbol K(k;G1,G2)/n→snH2(k,G1[n]⊗G2[n]), where k is a finite extension of Qp, G1,G2 are semi-abelian varieties over k and K(k;G1,G2) is the Somekawa K-group attached to G1,G2. Under some mild assumptions, we describe the exact annihilator of the image of sn under the Tate duality perfect pairing, H2(k,G1[n]⊗G2[n])×H0(k,Hom(G1[n]⊗G2[n],μn))→Z/n. An important special case is when both G1,G2 are abelian varieties with split semistable reduction. In this case we prove a finiteness result, which gives an application to zero-cycles on abelian varieties and products of curves." @default.
- W2963782800 created "2019-07-30" @default.
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- W2963782800 date "2019-11-01" @default.
- W2963782800 modified "2023-09-23" @default.
- W2963782800 title "A Tate duality theorem for local Galois symbols II; The semi-abelian case" @default.
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- W2963782800 doi "https://doi.org/10.1016/j.jnt.2019.04.017" @default.
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