Elliptic units in K₂

2002/04/02 by Kenichiro Kimura, Kimura, Kenichiro
Mathematics · #11G05 #11G15 #11R23 #11R70 #11S70 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11G05 #msc:11G15 #msc:11R23 #msc:11R70 #msc:11S70

paper · pdf · doi:10.48550/arxiv.math/0204023

11 pages

arxiv created 2002/04/02 · openalex publication_date 2002/04/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present certain norm-compatible systems in K₂ of function fields of some CM elliptic curves. We demonstrate that these systems have some properties similar to elliptic units.

Related

• Euler systems of K₂ of CM elliptic curves
• No singular modulus is a unit
• Norm relations for CM points on modular curves
• On units generated by Euler systems
• An analogue of cyclotomic units for products of elliptic curves