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Kahn's conjecture on Somekawa K-groups of semi-abelian varieties
Kahn's conjecture. If $r=s+1$ , then the Somekawa K-group $K(k;G_1,\ldots,G_r)$ is torsion. If $r>s+1$ and $k$ does not admit an ordered field structure, then
openarithmetic-geometry semi-abelian-varieties somekawa-k-groups
04
Somekawa's generalized Galois symbol injectivity conjecture
Somekawa's conjecture. The generalized Galois symbol $s_n$ is always injective.
openarithmetic-geometry galois-cohomology somekawa-k-groups
08

Kahn's conjecture on Somekawa K-groups of semi-abelian varieties