Complex Multiplication on Elliptic Curves

Date
2014-12-24
Author
Wertheim, Alexander
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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 thesis
Department
Mathematics
Subject
Elliptic curves, complex multiplication
Permalink
https://hdl.handle.net/10161/9337
Citation
Wertheim, Alexander (2014). Complex Multiplication on Elliptic Curves. Honors thesis, Duke University. Retrieved from https://hdl.handle.net/10161/9337.
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Rights for Collection: Undergraduate Honors Theses and Student papers

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