Norm relations for CM points on modular curves

Fuente: arXiv
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Auteur principal: Shah, Syed Waqar Ali
Format: Preprint
Publié: 2023
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author Shah, Syed Waqar Ali
author_facet Shah, Syed Waqar Ali
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2310_14543
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Norm relations for CM points on modular curves
Shah, Syed Waqar Ali
Number Theory
11G18, 11R23
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.
title Norm relations for CM points on modular curves
topic Number Theory
11G18, 11R23
url https://arxiv.org/abs/2310.14543