Selmer Groups of Elliptic Curves with Complex Multiplication
Anupam Saikia
TL;DR
This paper investigates the algebraic structure of Selmer groups associated with elliptic curves that have complex multiplication, providing insights into their behavior within Iwasawa theory.
Contribution
It presents new results on the Iwasawa module structure of Selmer groups specifically for elliptic curves with complex multiplication.
Findings
Detailed description of Iwasawa modules for CM elliptic curves
Connections between Selmer groups and Iwasawa invariants
Advances in understanding the arithmetic of CM elliptic curves
Abstract
This paper contains some results regarding the Iwasawa module structure of Selmer groups of elliptic curves with complex multiplication.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Analytic Number Theory Research