Complex Multiplication on Elliptic Curves

dc.contributor.author

Wertheim, Alexander

dc.date.accessioned

2014-12-24T20:21:31Z

dc.date.available

2014-12-24T20:21:31Z

dc.date.issued

2014-12-24

dc.department

Mathematics

dc.description.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.

dc.identifier.uri

https://hdl.handle.net/10161/9337

dc.language.iso

en_US

dc.subject

Elliptic curves, complex multiplication

dc.title

Complex Multiplication on Elliptic Curves

dc.type

Honors thesis

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