most citedp-adic L-functions and Selmer varieties associated to elliptic curves with complex multiplication

3 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

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.