English

Norm relations for CM points on modular curves

Number Theory 2025-12-17 v2

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.

Cite

@article{arxiv.2310.14543,
  title  = {Norm relations for CM points on modular curves},
  author = {Syed Waqar Ali Shah},
  journal= {arXiv preprint arXiv:2310.14543},
  year   = {2025}
}

Comments

Major revision. 53 pages

R2 v1 2026-06-28T12:58:24.042Z