42 citations · 119 across the 37 of their papers we have counts for
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math.NT2013
Diophantine geometry and non-abelian reciprocity laws I
Minhyong Kim
We use non-abelian fundamental groups to define a sequence of higher reciprocity maps on the adelic points of a variety over a number field satisfying certain conditions in Galois…
math.NT2013★ 6 cited
On the 2-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication
John Coates, Minhyong Kim, Zhibin Liang +1
Given an elliptic curve E over Q with complex multiplication having good reduction at 2, we investigate the 2-adic valuation of the algebraic part of the L-value at 1 for a family…