Euler systems of K₂ of CM elliptic curves

2000/03/25 by Kenichiro Kimura, Kimura, Kenichiro
Computer Science · Mathematics · #11G05 #14G25 #19F27 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G05 #msc:14G25 #msc:19F27

paper · pdf · doi:10.48550/arxiv.math/0003160

6 pages

arxiv created 2000/03/25 · openalex publication_date 2000/03/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct certain systems of elements in K₂ of CM elliptic curves. When the classnumber of the field of CM is 1, the image of this system under the regulator map forms an Euler system in the sense of Rubin.

Citations

• Good Reduction of Abelian Varieties

Related

• Elliptic units in K₂
• Norm relations for CM points on modular curves
• On units generated by Euler systems
• The CM class number one problem for curves of genus 2
• Anticyclotomic Euler Systems for CM fields