42 citations · 119 across the 37 of their papers we have counts for
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math.NT2009
Non-abelian fundamental groups in arithmetic geometry
Minhyong Kim
This is a brief exposition of the mathematical themes that motivate the special programme at the Newton Institute in 2009. It is mostly intended for the general public having mathe…
math.NT2009★ 4 cited
Galois theory and Diophantine geometry
Minhyong Kim
This is an essay to accompany the author's lecture at the introductory workshop on `Nonabelian fundamental groups in arithmetic geometry' at the Newton Institute, Cambridge in July…
math.NT2009★ 42 cited
Massey products for elliptic curves of rank 1
Minhyong Kim
For an elliptic curve over Q of analytic rank 1, we use the level-two Selmer variety and secondary cohomology products to find explicit analytic defining equations for global integ…