Complex Multiplication on Elliptic Curves
Abstract
We describe the theory of complex multiplication on elliptic curves as it pertains
to constructing abelian extensions of imaginary quadratic fields. We also briefly
explore how one may construct abelian extensions of real quadratic fields via an analogous
theory termed real multiplication. Throughout, examples are computed.
Type
Honors thesisDepartment
MathematicsPermalink
https://hdl.handle.net/10161/9337Citation
Wertheim, Alexander (2014). Complex Multiplication on Elliptic Curves. Honors thesis, Duke University. Retrieved from https://hdl.handle.net/10161/9337.Collections
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This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 United States License.
Rights for Collection: Undergraduate Honors Theses and Student papers