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The complex AGM and periods of elliptic curves over C
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Cremona, J. E. (2009) The complex AGM and periods of elliptic curves over C. In: Théorie des nombres et applications., Marseille, France, 30 Nov-4 Dec 2009 (Unpublished)
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Abstract
I will describe a method for computing the period lattice and elliptic logarithms for elliptic curves defined over C, using the complex Arithmetic-Geometric Mean first studied by Gauss, which extends the well-known method for elliptic curves defined over R to the complex case. The resulting algorithms have applications in the study of elliptic curves defined over number
fields.
Item Type: | Conference Item (Paper) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Official Date: | 3 December 2009 | ||||
Dates: |
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Status: | Not Peer Reviewed | ||||
Publication Status: | Unpublished | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | Théorie des nombres et applications. | ||||
Type of Event: | Conference | ||||
Location of Event: | Marseille, France | ||||
Date(s) of Event: | 30 Nov-4 Dec 2009 |
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