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and periods of elliptic curves over C. In: Théorie des nombres et applications., Marseille, France, 30 Nov-4 Dec 2009 (Unpublished)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)
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Official Date:	3 December 2009
Dates:	Date Event 3 December 2009 Completion
Status:	Not Peer Reviewed
Publication Status:	Unpublished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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