paper

Norm relations for CM points on modular curves

arXiv:2310.14543

Abstract

Kolyvagin introduced the method of Euler systems to study the structure of Selmer groups of elliptic curves. In this semi-expository article, we prove the horizontal norm relations for the CM points on modular curves underlying Kolyvagin's Euler system, with a view toward higher-dimensional generalizations.

Major revision. 53 pages