42 citations · 119 across the 37 of their papers we have counts for
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math.NT2007★ 3 cited
p-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication
Minhyong Kim
We show how non-vanishing of p-adic L functions controls the dimensions of Selmer varieties associated to the complement of the origin in an elliptic curve with CM. As a corollary,…
math.NT2007
Diophantine Geometry as Galois Theory in the Mathematics of Serge Lang
Minhyong Kim
A remark about the role of Galois theory in Diophantine geometry as reflected in the work of Serge Lang. An entry in `The mathematical contributions of Serge Lang.'
math.AG2007
Motivic L-Functions
Minhyong Kim
This is the text of an introductory lecture delivered at the IHES summer school on motives in July, 2006.
math.NT2007
Remark on fundamental groups and effective Diophantine methods for hyperbolic curves
Minhyong Kim
We discuss how non-commutative fundamental groups could eventually contribute to algorithms for finding rational points on hyperbolic curves.